메뉴 건너뛰기




Volumn 3, Issue C, 2010, Pages 379-524

Homoclinic and heteroclinic bifurcations in vector fields

Author keywords

Bifurcations; Conservative and reversible systems; Equivariant systems; Homoclinic and heteroclinic orbits; Vector fields

Indexed keywords


EID: 77956987116     PISSN: 1874575X     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S1874-575X(10)00316-4     Document Type: Book
Times cited : (219)

References (434)
  • 2
    • 2442681194 scopus 로고    scopus 로고
    • Topological methods in dynamics
    • North-Holland, Amsterdam
    • Franks J., Misiurewicz M. Topological methods in dynamics. Handbook of Dynamical Systems 2002, Vol. 1A:547-598. North-Holland, Amsterdam.
    • (2002) Handbook of Dynamical Systems , vol.1 A , pp. 547-598
    • Franks, J.1    Misiurewicz, M.2
  • 4
    • 33748538269 scopus 로고    scopus 로고
    • Homoclinic bifurcations, dominated splitting, and robust transitivity
    • Elsevier B.V., Amsterdam
    • Pujals E.R., Sambarino M. Homoclinic bifurcations, dominated splitting, and robust transitivity. Handbook of Dynamical Systems 2006, Vol. 1B:327-378. Elsevier B.V., Amsterdam.
    • (2006) Handbook of Dynamical Systems , vol.1 B , pp. 327-378
    • Pujals, E.R.1    Sambarino, M.2
  • 5
    • 33748277891 scopus 로고    scopus 로고
    • Variational methods for Hamiltonian systems
    • North-Holland, Amsterdam
    • Rabinowitz P.H. Variational methods for Hamiltonian systems. Handbook of Dynamical Systems 2002, Vol. 1A:1091-1127. North-Holland, Amsterdam.
    • (2002) Handbook of Dynamical Systems , vol.1 A , pp. 1091-1127
    • Rabinowitz, P.H.1
  • 6
    • 67649363651 scopus 로고    scopus 로고
    • Stability of travelling waves
    • North-Holland, Amsterdam
    • Sandstede B. Stability of travelling waves. Handbook of Dynamical Systems 2002, Vol. 2:983-1055. North-Holland, Amsterdam.
    • (2002) Handbook of Dynamical Systems , vol.2 , pp. 983-1055
    • Sandstede, B.1
  • 7
    • 77956989308 scopus 로고    scopus 로고
    • Local invariant manifolds and normal forms
    • North-Holland, Amsterdam
    • Takens F., Vanderbauwhede A. Local invariant manifolds and normal forms. Handbook of Dynamical Systems 2010, Vol. 3:89-124. North-Holland, Amsterdam.
    • (2010) Handbook of Dynamical Systems , vol.3 , pp. 89-124
    • Takens, F.1    Vanderbauwhede, A.2
  • 9
    • 0033544737 scopus 로고    scopus 로고
    • Bifurcation of homoclinic orbits to a saddle-focus in reversible systems with SO(2)-symmetry
    • Afendikov A., Mielke A. Bifurcation of homoclinic orbits to a saddle-focus in reversible systems with SO(2)-symmetry. J. Differential Equations 1999, 159:370-402.
    • (1999) J. Differential Equations , vol.159 , pp. 370-402
    • Afendikov, A.1    Mielke, A.2
  • 10
    • 0000119416 scopus 로고
    • On structurally unstable attracting limit sets of Lorenz attractor type
    • Afraǐmovich V.S., Bykov V.V., Shil'nikov L.P. On structurally unstable attracting limit sets of Lorenz attractor type. Trans. Mosc. Math. Soc. 1983, 1983:153-216.
    • (1983) Trans. Mosc. Math. Soc. , vol.1983 , pp. 153-216
    • Afraǐmovich, V.S.1    Bykov, V.V.2    Shil'nikov, L.P.3
  • 13
    • 0010931666 scopus 로고
    • Dimension of Lorenz type attractors
    • Harwood Academic Publishers, Chur
    • Afraǐmovich V.S., Pesin Y.B. Dimension of Lorenz type attractors. Mathematical Physics Reviews 1987, Vol. 6:169-241. Harwood Academic Publishers, Chur.
    • (1987) Mathematical Physics Reviews , vol.6 , pp. 169-241
    • Afraǐmovich, V.S.1    Pesin, Y.B.2
  • 16
    • 0002670569 scopus 로고
    • Families of periodic orbits: virtual periods and global continuability
    • Alligood K.T., Yorke J.A. Families of periodic orbits: virtual periods and global continuability. J. Differential Equations 1984, 55:59-71.
    • (1984) J. Differential Equations , vol.55 , pp. 59-71
    • Alligood, K.T.1    Yorke, J.A.2
  • 17
    • 0001272459 scopus 로고
    • Global uniqueness of homoclinic orbits for a class of fourth order equations
    • Amick C.J., Toland J.F. Global uniqueness of homoclinic orbits for a class of fourth order equations. Z. Angew. Math. Phys. 1992, 43:591-597.
    • (1992) Z. Angew. Math. Phys. , vol.43 , pp. 591-597
    • Amick, C.J.1    Toland, J.F.2
  • 19
    • 34548262188 scopus 로고    scopus 로고
    • Large deviations bound for semiflows over a non-uniformly expanding base
    • Araújo V. Large deviations bound for semiflows over a non-uniformly expanding base. Bull. Braz. Math. Soc. (N.S.) 2007, 38:335-376.
    • (2007) Bull. Braz. Math. Soc. (N.S.) , vol.38 , pp. 335-376
    • Araújo, V.1
  • 20
    • 50049131711 scopus 로고    scopus 로고
    • Instituto Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro
    • Araújo V., Pacífico M.J. Three Dimensional Flows 2007, Instituto Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro.
    • (2007) Three Dimensional Flows
    • Araújo, V.1    Pacífico, M.J.2
  • 21
    • 67650489412 scopus 로고    scopus 로고
    • Physical measures for infinite-modal maps
    • Araújo V., Pacífico M.J. Physical measures for infinite-modal maps. Fund. Math. 2009, 203:211-262.
    • (2009) Fund. Math. , vol.203 , pp. 211-262
    • Araújo, V.1    Pacífico, M.J.2
  • 23
    • 45549113061 scopus 로고
    • Heteroclinic cycles and modulated travelling waves in systems with O(2) symmetry
    • Armbruster D., Guckenheimer J., Holmes P.J. Heteroclinic cycles and modulated travelling waves in systems with O(2) symmetry. Physica D 1988, 29:257-282.
    • (1988) Physica D , vol.29 , pp. 257-282
    • Armbruster, D.1    Guckenheimer, J.2    Holmes, P.J.3
  • 24
    • 0037355056 scopus 로고    scopus 로고
    • Noisy heteroclinic networks
    • Armbruster D., Stone E., Kirk V. Noisy heteroclinic networks. Chaos 2003, 13:71-86.
    • (2003) Chaos , vol.13 , pp. 71-86
    • Armbruster, D.1    Stone, E.2    Kirk, V.3
  • 26
    • 0000694469 scopus 로고
    • A possible new mechanism for the onset of turbulence
    • Arneodo A., Coullet P., Tresser C. A possible new mechanism for the onset of turbulence. Phys. Lett. A 1981, 81:197-201.
    • (1981) Phys. Lett. A , vol.81 , pp. 197-201
    • Arneodo, A.1    Coullet, P.2    Tresser, C.3
  • 27
    • 0000755418 scopus 로고
    • Possible new strange attractors with spiral structure
    • Arneodo A., Coullet P., Tresser C. Possible new strange attractors with spiral structure. Comm. Math. Phys. 1981, 79:573-579.
    • (1981) Comm. Math. Phys. , vol.79 , pp. 573-579
    • Arneodo, A.1    Coullet, P.2    Tresser, C.3
  • 29
    • 0001648787 scopus 로고
    • Coupled arrays of Josephson junctions and bifurcation of maps with SN symmetry
    • Aronson D.G., Golubitsky M., Krupa M. Coupled arrays of Josephson junctions and bifurcation of maps with SN symmetry. Nonlinearity 1991, 4:861-902.
    • (1991) Nonlinearity , vol.4 , pp. 861-902
    • Aronson, D.G.1    Golubitsky, M.2    Krupa, M.3
  • 31
  • 32
    • 0033413296 scopus 로고    scopus 로고
    • Heteroclinic networks in coupled cell systems
    • Ashwin P., Field M.J. Heteroclinic networks in coupled cell systems. Arch. Ration. Mech. Anal. 1999, 148:107-143.
    • (1999) Arch. Ration. Mech. Anal. , vol.148 , pp. 107-143
    • Ashwin, P.1    Field, M.J.2
  • 33
    • 77949995933 scopus 로고    scopus 로고
    • Group theoretic conditions for existence of robust relative homoclinic trajectories
    • Ashwin P., Montaldi J. Group theoretic conditions for existence of robust relative homoclinic trajectories. Math. Proc. Cambridge Philos. Soc. 2002, 133:125-141.
    • (2002) Math. Proc. Cambridge Philos. Soc. , vol.133 , pp. 125-141
    • Ashwin, P.1    Montaldi, J.2
  • 34
    • 84867945302 scopus 로고    scopus 로고
    • Breakdown of heteroclinic orbits for some analytic unfoldings of the Hopf-zero singularity
    • Baldomá I., Seara T.M. Breakdown of heteroclinic orbits for some analytic unfoldings of the Hopf-zero singularity. J. Nonlinear Sci. 2006, 16:543-582.
    • (2006) J. Nonlinear Sci. , vol.16 , pp. 543-582
    • Baldomá, I.1    Seara, T.M.2
  • 37
    • 0039334576 scopus 로고
    • Functional equations, and conjugacy of local diffeomorphisms of finite smoothness class
    • Belitskiǐ G.R. Functional equations, and conjugacy of local diffeomorphisms of finite smoothness class. Funkcional. Anal. i Priložen. 1973, 7:17-28.
    • (1973) Funkcional. Anal. i Priložen. , vol.7 , pp. 17-28
    • Belitskiǐ, G.R.1
  • 39
    • 38249040951 scopus 로고
    • Modulus of stability for vector fields on 3-manifolds
    • Beloqui J.A. Modulus of stability for vector fields on 3-manifolds. J. Differential Equations 1986, 65:374-395.
    • (1986) J. Differential Equations , vol.65 , pp. 374-395
    • Beloqui, J.A.1
  • 40
    • 0008998664 scopus 로고
    • Bifurcation set in a system with homoclinic saddle curve
    • Belyakov L.A. Bifurcation set in a system with homoclinic saddle curve. Math. Notes 1981, 28:910-916.
    • (1981) Math. Notes , vol.28 , pp. 910-916
    • Belyakov, L.A.1
  • 41
    • 22244488957 scopus 로고
    • Bifurcations of systems with a homoclinic curve of the saddle-focus with a zero saddle value
    • 798
    • Belyakov L.A. Bifurcations of systems with a homoclinic curve of the saddle-focus with a zero saddle value. Mat. Zametki 1984, 36:681-689. 798.
    • (1984) Mat. Zametki , vol.36 , pp. 681-689
    • Belyakov, L.A.1
  • 42
    • 3342919543 scopus 로고
    • Bifurcation of separatrices of a saddle point of the Lorenz system
    • Belykh V.N. Bifurcation of separatrices of a saddle point of the Lorenz system. Differ. Equ. 1984, 20:1184-1191.
    • (1984) Differ. Equ. , vol.20 , pp. 1184-1191
    • Belykh, V.N.1
  • 43
    • 0031653886 scopus 로고    scopus 로고
    • Bifurcations for heteroclinic orbits of a periodic motion and a saddle-focus and dynamical chaos
    • Belykh V.N., Bykov V.V. Bifurcations for heteroclinic orbits of a periodic motion and a saddle-focus and dynamical chaos. Chaos Solitons Fractals 1998, 9:1-18.
    • (1998) Chaos Solitons Fractals , vol.9 , pp. 1-18
    • Belykh, V.N.1    Bykov, V.V.2
  • 46
    • 0006593312 scopus 로고    scopus 로고
    • Variational construction of homoclinics and chaos in presence of a saddle-saddle equilibrium
    • Berti M., Bolle P. Variational construction of homoclinics and chaos in presence of a saddle-saddle equilibrium. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 1998, 27:331-377.
    • (1998) Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) , vol.27 , pp. 331-377
    • Berti, M.1    Bolle, P.2
  • 47
    • 0042370385 scopus 로고
    • On the bifurcation of a saddle-focus separatrix loop in a three-dimensional conservative dynamical system
    • Biragov V.S., Shil'nikov L.P. On the bifurcation of a saddle-focus separatrix loop in a three-dimensional conservative dynamical system. Selecta Math. Soviet 1992, 11:333-340.
    • (1992) Selecta Math. Soviet , vol.11 , pp. 333-340
    • Biragov, V.S.1    Shil'nikov, L.P.2
  • 48
    • 0002549474 scopus 로고
    • Versal deformation of a singularity of a vector field on the plane in the case of zero eigenvalues
    • Bogdanov R. Versal deformation of a singularity of a vector field on the plane in the case of zero eigenvalues. Selecta Math. Soviet 1976, 1:389-421.
    • (1976) Selecta Math. Soviet , vol.1 , pp. 389-421
    • Bogdanov, R.1
  • 49
    • 0033228876 scopus 로고    scopus 로고
    • Multibump homoclinic solutions to a centre equilibrium in a class of autonomous Hamiltonian systems
    • Bolle P., Buffoni B. Multibump homoclinic solutions to a centre equilibrium in a class of autonomous Hamiltonian systems. Nonlinearity 1999, 12:1699-1716.
    • (1999) Nonlinearity , vol.12 , pp. 1699-1716
    • Bolle, P.1    Buffoni, B.2
  • 51
    • 0242319468 scopus 로고    scopus 로고
    • Équivalence topologique de connexions de selles en dimension 3
    • Bonatti C., Dufraine E. Équivalence topologique de connexions de selles en dimension 3. Ergodic Theory Dynam. Systems 2003, 23:1347-1381.
    • (2003) Ergodic Theory Dynam. Systems , vol.23 , pp. 1347-1381
    • Bonatti, C.1    Dufraine, E.2
  • 53
    • 0031190965 scopus 로고    scopus 로고
    • Conjugacy of vector fields respecting additional properties
    • Bonckaert P. Conjugacy of vector fields respecting additional properties. J. Dynam. Control Systems 1997, 3:419-432.
    • (1997) J. Dynam. Control Systems , vol.3 , pp. 419-432
    • Bonckaert, P.1
  • 55
    • 0141848554 scopus 로고    scopus 로고
    • Global bifurcations on the Klein bottle. The unimodal case
    • Borisyuk A.R. Global bifurcations on the Klein bottle. The unimodal case. Math. Notes 2002, 71:316-329.
    • (2002) Math. Notes , vol.71 , pp. 316-329
    • Borisyuk, A.R.1
  • 56
    • 22544432530 scopus 로고    scopus 로고
    • Global bifurcations on a Klein bottle. The general case
    • Borisyuk A.R. Global bifurcations on a Klein bottle. The general case. Sb. Math. 2005, 196:465-483.
    • (2005) Sb. Math. , vol.196 , pp. 465-483
    • Borisyuk, A.R.1
  • 57
    • 0011289134 scopus 로고
    • Heteroclinic networks on the tetrahedron
    • Brannath W. Heteroclinic networks on the tetrahedron. Nonlinearity 1994, 7:1367-1384.
    • (1994) Nonlinearity , vol.7 , pp. 1367-1384
    • Brannath, W.1
  • 58
    • 0002761467 scopus 로고
    • Formal normal form theorems for vector fields and some consequences for bifurcations in the volume preserving case
    • Springer, Berlin, Dynamical Systems and Turbulence
    • Broer H.W. Formal normal form theorems for vector fields and some consequences for bifurcations in the volume preserving case. Lecture Notes in Math. 1981, Vol. 898:54-74. Springer, Berlin.
    • (1981) Lecture Notes in Math. , vol.898 , pp. 54-74
    • Broer, H.W.1
  • 59
    • 0001231858 scopus 로고
    • Subordinate Shil'nikov bifurcations near some singularities of vector fields having low codimension
    • Broer H.W., Vegter G. Subordinate Shil'nikov bifurcations near some singularities of vector fields having low codimension. Ergodic Theory Dynam. Systems 1984, 4:509-525.
    • (1984) Ergodic Theory Dynam. Systems , vol.4 , pp. 509-525
    • Broer, H.W.1    Vegter, G.2
  • 60
    • 0002568232 scopus 로고    scopus 로고
    • Tracking invariant manifolds without differential forms
    • Brunovský P. Tracking invariant manifolds without differential forms. Acta Math. Univ. Comenian. (N.S.) 1996, 65:23-32.
    • (1996) Acta Math. Univ. Comenian. (N.S.) , vol.65 , pp. 23-32
    • Brunovský, P.1
  • 61
    • 0002400014 scopus 로고
    • Infinitely many large amplitude homoclinic orbits for a class of autonomous Hamiltonian systems
    • Buffoni B. Infinitely many large amplitude homoclinic orbits for a class of autonomous Hamiltonian systems. J. Differential Equations 1995, 121:109-120.
    • (1995) J. Differential Equations , vol.121 , pp. 109-120
    • Buffoni, B.1
  • 62
    • 53349120754 scopus 로고    scopus 로고
    • Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system
    • Buffoni B., Champneys A.R., Toland J.F. Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system. J. Dynam. Differential Equations 1996, 8:221-279.
    • (1996) J. Dynam. Differential Equations , vol.8 , pp. 221-279
    • Buffoni, B.1    Champneys, A.R.2    Toland, J.F.3
  • 63
    • 0043081376 scopus 로고    scopus 로고
    • A global condition for quasi-random behavior in a class of conservative systems
    • Buffoni B., Séré E. A global condition for quasi-random behavior in a class of conservative systems. Comm. Pure Appl. Math. 1996, 49:285-305.
    • (1996) Comm. Pure Appl. Math. , vol.49 , pp. 285-305
    • Buffoni, B.1    Séré, E.2
  • 64
    • 33744829750 scopus 로고    scopus 로고
    • Localized states in the generalized Swift-Hohenberg equation
    • Burke J., Knobloch E. Localized states in the generalized Swift-Hohenberg equation. Phys. Rev. E 2006, 73:056211.
    • (2006) Phys. Rev. E , vol.73 , pp. 056211
    • Burke, J.1    Knobloch, E.2
  • 65
    • 34848911909 scopus 로고    scopus 로고
    • Homoclinic snaking: structure and stability
    • Burke J., Knobloch E. Homoclinic snaking: structure and stability. Chaos 2007, 17:037102.
    • (2007) Chaos , vol.17 , pp. 037102
    • Burke, J.1    Knobloch, E.2
  • 66
    • 33751252789 scopus 로고    scopus 로고
    • Snakes and ladders: localized states in the Swift-Hohenberg equation
    • Burke J., Knobloch E. Snakes and ladders: localized states in the Swift-Hohenberg equation. Phys. Lett. A 2007, 360:681-688.
    • (2007) Phys. Lett. A , vol.360 , pp. 681-688
    • Burke, J.1    Knobloch, E.2
  • 67
    • 0000595586 scopus 로고
    • The bifurcations of separatrix contours and chaos
    • Bykov V.V. The bifurcations of separatrix contours and chaos. Physica D 1993, 62:290-299.
    • (1993) Physica D , vol.62 , pp. 290-299
    • Bykov, V.V.1
  • 68
    • 0031188248 scopus 로고    scopus 로고
    • One mechanism of appearance of a spiral quasiattractor involving heteroclinic contours
    • Bykov V.V. One mechanism of appearance of a spiral quasiattractor involving heteroclinic contours. Comput. Math. Appl. 1997, 34:229-244.
    • (1997) Comput. Math. Appl. , vol.34 , pp. 229-244
    • Bykov, V.V.1
  • 70
    • 27944448709 scopus 로고    scopus 로고
    • On systems with separatrix contour containing two saddle-foci
    • Bykov V.V. On systems with separatrix contour containing two saddle-foci. J. Math. Sci. (New York) 1999, 95:2513-2522.
    • (1999) J. Math. Sci. (New York) , vol.95 , pp. 2513-2522
    • Bykov, V.V.1
  • 71
    • 0242312061 scopus 로고    scopus 로고
    • Orbit structure in a neighborhood of a separatrix cycle containing two saddle-foci
    • Amer. Math. Soc, Providence, RI
    • Bykov V.V. Orbit structure in a neighborhood of a separatrix cycle containing two saddle-foci. Methods of Qualitative Theory of Differential Equations and Related Topics 2000, 87-97. Amer. Math. Soc, Providence, RI.
    • (2000) Methods of Qualitative Theory of Differential Equations and Related Topics , pp. 87-97
    • Bykov, V.V.1
  • 72
    • 51649155455 scopus 로고
    • Bifurcations and global stability of families of gradients
    • 1990
    • Carneiro M.J.D., Palis J. Bifurcations and global stability of families of gradients. Inst. Hautes Études Sci. Publ. Math. 1989, 70:103-168. 1990.
    • (1989) Inst. Hautes Études Sci. Publ. Math. , vol.70 , pp. 103-168
    • Carneiro, M.J.D.1    Palis, J.2
  • 73
    • 24444468179 scopus 로고
    • A note on modulus of stability for cycles of the complex type
    • Ceballos J.C., Labarca R. A note on modulus of stability for cycles of the complex type. Physica D 1992, 55:37-44.
    • (1992) Physica D , vol.55 , pp. 37-44
    • Ceballos, J.C.1    Labarca, R.2
  • 74
    • 21844508998 scopus 로고
    • Subsidiary homoclinic orbits to a saddle-focus for reversible systems
    • Champneys A.R. Subsidiary homoclinic orbits to a saddle-focus for reversible systems. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 1994, 4:1447-1482.
    • (1994) Internat. J. Bifur. Chaos Appl. Sci. Engrg. , vol.4 , pp. 1447-1482
    • Champneys, A.R.1
  • 75
    • 0000654735 scopus 로고    scopus 로고
    • Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics
    • Champneys A.R. Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics. Physica D 1998, 112:158-186.
    • (1998) Physica D , vol.112 , pp. 158-186
    • Champneys, A.R.1
  • 76
    • 0003113760 scopus 로고    scopus 로고
    • Homoclinic orbits in reversible systems ii: Multi-bumps and saddle-centres
    • Champneys A.R. Homoclinic orbits in reversible systems ii: Multi-bumps and saddle-centres. CWI Quarterly 1999, 12:185-212.
    • (1999) CWI Quarterly , vol.12 , pp. 185-212
    • Champneys, A.R.1
  • 77
    • 0035218956 scopus 로고    scopus 로고
    • Codimension-one persistence beyond all orders of homoclinic orbits to singular saddle centres in reversible systems
    • Champneys A.R. Codimension-one persistence beyond all orders of homoclinic orbits to singular saddle centres in reversible systems. Nonlinearity 2001, 14:87-112.
    • (2001) Nonlinearity , vol.14 , pp. 87-112
    • Champneys, A.R.1
  • 78
    • 0034271019 scopus 로고    scopus 로고
    • Cascades of homoclinic orbits to a saddle-centre for reversible and perturbed Hamiltonian systems
    • Champneys A.R., Härterich J. Cascades of homoclinic orbits to a saddle-centre for reversible and perturbed Hamiltonian systems. Dyn. Stab. Syst. 2000, 15:231-252.
    • (2000) Dyn. Stab. Syst. , vol.15 , pp. 231-252
    • Champneys, A.R.1    Härterich, J.2
  • 80
    • 3042854569 scopus 로고    scopus 로고
    • The entwined wiggling of homoclinic curves emerging from saddle-node/Hopf instabilities
    • Champneys A.R., Kirk V. The entwined wiggling of homoclinic curves emerging from saddle-node/Hopf instabilities. Physica D 2004, 195:77-105.
    • (2004) Physica D , vol.195 , pp. 77-105
    • Champneys, A.R.1    Kirk, V.2
  • 83
    • 84892295486 scopus 로고    scopus 로고
    • Numerical computation of coherent structures
    • Springer, B. Krauskopf, H.M. Osinga, J. Galan-Vioque (Eds.)
    • Champneys A.R., Sandstede B. Numerical computation of coherent structures. Numerical Continuation Methods for Dynamical Systems 2007, 331-358. Springer. B. Krauskopf, H.M. Osinga, J. Galan-Vioque (Eds.).
    • (2007) Numerical Continuation Methods for Dynamical Systems , pp. 331-358
    • Champneys, A.R.1    Sandstede, B.2
  • 84
    • 36149031023 scopus 로고
    • Bifurcation of a plethora of multi-modal homoclinic orbits for autonomous Hamiltonian systems
    • Champneys A.R., Toland J.F. Bifurcation of a plethora of multi-modal homoclinic orbits for autonomous Hamiltonian systems. Nonlinearity 1993, 6:665-721.
    • (1993) Nonlinearity , vol.6 , pp. 665-721
    • Champneys, A.R.1    Toland, J.F.2
  • 85
    • 58149488792 scopus 로고    scopus 로고
    • Exponential asymptotics of localized patterns and snaking bifurcation diagrams
    • Chapman S.J., Kozyreff G. Exponential asymptotics of localized patterns and snaking bifurcation diagrams. Physica D 2008, 238:319-354.
    • (2008) Physica D , vol.238 , pp. 319-354
    • Chapman, S.J.1    Kozyreff, G.2
  • 86
    • 0000789656 scopus 로고
    • Equivalence and decomposition of vector fields about an elementary critical point
    • Chen K.-T. Equivalence and decomposition of vector fields about an elementary critical point. Amer. J. Math. 1963, 85:693-722.
    • (1963) Amer. J. Math. , vol.85 , pp. 693-722
    • Chen, K.-T.1
  • 87
    • 77957007417 scopus 로고
    • Structure of the sequence function in the neighborhood of a separatrix cycle during perturbation of an analytic autonomous system on the plane
    • Cherkas L. Structure of the sequence function in the neighborhood of a separatrix cycle during perturbation of an analytic autonomous system on the plane. Differ. Equ. 1981, 17:321-328.
    • (1981) Differ. Equ. , vol.17 , pp. 321-328
    • Cherkas, L.1
  • 88
    • 4744344757 scopus 로고    scopus 로고
    • Dynamics and geometry in forced symmetry breaking: a tetrahedral example
    • Chillingworth D., Lauterbach R. Dynamics and geometry in forced symmetry breaking: a tetrahedral example. Math. Proc. Cambridge Philos. Soc. 2004, 137:411-432.
    • (2004) Math. Proc. Cambridge Philos. Soc. , vol.137 , pp. 411-432
    • Chillingworth, D.1    Lauterbach, R.2
  • 89
    • 0036123230 scopus 로고    scopus 로고
    • The reduction of equivariant dynamics to the orbit space for compact group actions
    • Chossat P. The reduction of equivariant dynamics to the orbit space for compact group actions. Acta Appl. Math. 2002, 70:71-94.
    • (2002) Acta Appl. Math. , vol.70 , pp. 71-94
    • Chossat, P.1
  • 91
  • 94
    • 0000839324 scopus 로고
    • Bifurcation of a unique stable periodic orbit from a homoclinic orbit in infinite-dimensional systems
    • Chow S.-N., Deng B. Bifurcation of a unique stable periodic orbit from a homoclinic orbit in infinite-dimensional systems. Trans. Amer. Math. Soc. 1989, 312:539-587.
    • (1989) Trans. Amer. Math. Soc. , vol.312 , pp. 539-587
    • Chow, S.-N.1    Deng, B.2
  • 96
    • 0000598042 scopus 로고
    • The bifurcation of homoclinic and periodic orbits from two heteroclinic orbits
    • Chow S.-N., Deng B., Terman D. The bifurcation of homoclinic and periodic orbits from two heteroclinic orbits. SIAM J. Math. Anal. 1990, 21:179-204.
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 179-204
    • Chow, S.-N.1    Deng, B.2    Terman, D.3
  • 97
    • 84959950080 scopus 로고
    • The bifurcation of homoclinic orbits from two heteroclinic orbits - a topological approach
    • Chow S.-N., Deng B., Terman D. The bifurcation of homoclinic orbits from two heteroclinic orbits - a topological approach. Appl. Anal. 1991, 42:275-299.
    • (1991) Appl. Anal. , vol.42 , pp. 275-299
    • Chow, S.-N.1    Deng, B.2    Terman, D.3
  • 98
    • 84972533582 scopus 로고
    • Bifurcation of a homoclinic orbit with a saddle-node equilibrium
    • Chow S.-N., Lin X.-B. Bifurcation of a homoclinic orbit with a saddle-node equilibrium. Differential Integral Equations 1990, 3:435-466.
    • (1990) Differential Integral Equations , vol.3 , pp. 435-466
    • Chow, S.-N.1    Lin, X.-B.2
  • 100
    • 0038578341 scopus 로고    scopus 로고
    • Chaotic behaviour of one-dimensional saddle-node horseshoes
    • Costa M.J. Chaotic behaviour of one-dimensional saddle-node horseshoes. Discrete Contin. Dyn. Syst. 2003, 9:505-548.
    • (2003) Discrete Contin. Dyn. Syst. , vol.9 , pp. 505-548
    • Costa, M.J.1
  • 101
    • 0000841505 scopus 로고    scopus 로고
    • Stable static localized structures in one dimension
    • Coullet P., Riera C., Tresser C. Stable static localized structures in one dimension. Phys. Rev. Lett. 2000, 84:3069-3072.
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 3069-3072
    • Coullet, P.1    Riera, C.2    Tresser, C.3
  • 102
    • 0036687652 scopus 로고    scopus 로고
    • Saddle-node bifurcations for hyperbolic sets
    • Crovisier S. Saddle-node bifurcations for hyperbolic sets. Ergodic Theory Dynam. Systems 2002, 22:1079-1115.
    • (2002) Ergodic Theory Dynam. Systems , vol.22 , pp. 1079-1115
    • Crovisier, S.1
  • 104
    • 27944488214 scopus 로고
    • On the existence of homoclinic orbits in a family of vector fields near an equilibrium point
    • World Sci. Publishing, Teaneck, NJ
    • Delshams A., Seara T.M. On the existence of homoclinic orbits in a family of vector fields near an equilibrium point. European Conference on Iteration Theory (Caldes de Malavella, 1987) 1989, 167-177. World Sci. Publishing, Teaneck, NJ.
    • (1989) European Conference on Iteration Theory (Caldes de Malavella, 1987) , pp. 167-177
    • Delshams, A.1    Seara, T.M.2
  • 105
    • 0000958356 scopus 로고
    • The Shil'nikov problem, exponential expansion, strong λ-lemma, C1-linearization, and homoclinic bifurcation
    • Deng B. The Shil'nikov problem, exponential expansion, strong λ-lemma, C1-linearization, and homoclinic bifurcation. J. Differential Equations 1989, 79:189-231.
    • (1989) J. Differential Equations , vol.79 , pp. 189-231
    • Deng, B.1
  • 106
    • 0000025015 scopus 로고
    • Homoclinic bifurcations with nonhyperbolic equilibria
    • Deng B. Homoclinic bifurcations with nonhyperbolic equilibria. SIAM J. Math. Anal. 1990, 21:693-720.
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 693-720
    • Deng, B.1
  • 107
    • 0000775150 scopus 로고
    • The bifurcations of countable connections from a twisted heteroclinic loop
    • Deng B. The bifurcations of countable connections from a twisted heteroclinic loop. SIAM J. Math. Anal. 1991, 22:653-679.
    • (1991) SIAM J. Math. Anal. , vol.22 , pp. 653-679
    • Deng, B.1
  • 108
    • 0000851835 scopus 로고
    • Homoclinic twisting bifurcations and cusp horseshoe maps
    • Deng B. Homoclinic twisting bifurcations and cusp horseshoe maps. J. Dynam. Differential Equations 1993, 5:417-467.
    • (1993) J. Dynam. Differential Equations , vol.5 , pp. 417-467
    • Deng, B.1
  • 109
    • 0001630378 scopus 로고
    • On Shil'nikov's homoclinic-saddle-focus theorem
    • Deng B. On Shil'nikov's homoclinic-saddle-focus theorem. J. Differential Equations 1993, 102:305-329.
    • (1993) J. Differential Equations , vol.102 , pp. 305-329
    • Deng, B.1
  • 110
    • 0040794010 scopus 로고    scopus 로고
    • Exponential expansion with principal eigenvalues. Nonlinear dynamics, bifurcations and chaotic behavior
    • Deng B. Exponential expansion with principal eigenvalues. Nonlinear dynamics, bifurcations and chaotic behavior. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 1996, 6:1161-1167.
    • (1996) Internat. J. Bifur. Chaos Appl. Sci. Engrg. , vol.6 , pp. 1161-1167
    • Deng, B.1
  • 112
    • 0000107832 scopus 로고
    • Homoclinic orbits in Hamiltonian systems
    • Devaney R.L. Homoclinic orbits in Hamiltonian systems. J. Differential Equations 1976, 21:431-438.
    • (1976) J. Differential Equations , vol.21 , pp. 431-438
    • Devaney, R.L.1
  • 113
    • 0001749209 scopus 로고
    • Blue sky catastrophes in reversible and Hamiltonian systems
    • Devaney R.L. Blue sky catastrophes in reversible and Hamiltonian systems. Indiana Univ. Math. J. 1977, 26:247-263.
    • (1977) Indiana Univ. Math. J. , vol.26 , pp. 247-263
    • Devaney, R.L.1
  • 114
    • 0347999539 scopus 로고    scopus 로고
    • Heteroclinic cycles and wreath product symmetries
    • Dias A.P.S., Dionne B., Stewart I. Heteroclinic cycles and wreath product symmetries. Dyn. Stab. Syst. 2000, 15:353-385.
    • (2000) Dyn. Stab. Syst. , vol.15 , pp. 353-385
    • Dias, A.P.S.1    Dionne, B.2    Stewart, I.3
  • 115
    • 33845763362 scopus 로고    scopus 로고
    • Statistical properties of one-dimensional maps with critical points and singularities
    • Díaz-Ordaz K., Holland M.P., Luzzatto S. Statistical properties of one-dimensional maps with critical points and singularities. Stoch. Dyn. 2006, 6:423-458.
    • (2006) Stoch. Dyn. , vol.6 , pp. 423-458
    • Díaz-Ordaz, K.1    Holland, M.P.2    Luzzatto, S.3
  • 116
    • 0036686268 scopus 로고    scopus 로고
    • Critical saddle-node cycles: Hausdorff dimension and persistence of tangencies
    • Díaz L.J., Ures R. Critical saddle-node cycles: Hausdorff dimension and persistence of tangencies. Ergodic Theory Dynam. Systems 2002, 22:1117-1140.
    • (2002) Ergodic Theory Dynam. Systems , vol.22 , pp. 1117-1140
    • Díaz, L.J.1    Ures, R.2
  • 117
    • 33846058378 scopus 로고    scopus 로고
    • Global bifurcations of the Lorenz manifold
    • Doedel E.J., Krauskopf B., Osinga H.M. Global bifurcations of the Lorenz manifold. Nonlinearity 2006, 19:2947-2972.
    • (2006) Nonlinearity , vol.19 , pp. 2947-2972
    • Doedel, E.J.1    Krauskopf, B.2    Osinga, H.M.3
  • 118
    • 77957007937 scopus 로고    scopus 로고
    • auto2000: Continuation and bifurcation software for ordinary differential equations (with homcont), Technical report, Concordia University
    • E. Doedel, R.C. Paffenroth, A.R. Champneys, T.F. Fairgrieve, Y.A. Kuznetsov, B.E. Oldeman, B. Sandstede and X. Wang, auto2000: Continuation and bifurcation software for ordinary differential equations (with homcont), Technical report, Concordia University (2002).
    • (2002)
    • Doedel, E.1    Paffenroth, R.C.2    Champneys, A.R.3    Fairgrieve, T.F.4    Kuznetsov, Y.A.5    Oldeman, B.E.6    Sandstede, B.7    Wang, X.8
  • 119
    • 70350788857 scopus 로고    scopus 로고
    • Essentially asymptotically stable homoclinic networks
    • Driesse R., Homburg A.J. Essentially asymptotically stable homoclinic networks. Dynamical Systems 2009, 24:459-471.
    • (2009) Dynamical Systems , vol.24 , pp. 459-471
    • Driesse, R.1    Homburg, A.J.2
  • 120
    • 60349112995 scopus 로고    scopus 로고
    • Resonance bifurcation from homoclinic cycles
    • Driesse R., Homburg A.J. Resonance bifurcation from homoclinic cycles. J. Differential Equations 2009, 246:2681-2705.
    • (2009) J. Differential Equations , vol.246 , pp. 2681-2705
    • Driesse, R.1    Homburg, A.J.2
  • 122
    • 0035458202 scopus 로고    scopus 로고
    • Some topological invariants for three-dimensional flows
    • Dufraine E. Some topological invariants for three-dimensional flows. Chaos 2001, 11:443-448.
    • (2001) Chaos , vol.11 , pp. 443-448
    • Dufraine, E.1
  • 123
    • 30644465842 scopus 로고    scopus 로고
    • Cocoon bifurcation in three-dimensional reversible vector fields
    • Dumortier F., Ibáñez S., Kokubu H. Cocoon bifurcation in three-dimensional reversible vector fields. Nonlinearity 2006, 19:305-328.
    • (2006) Nonlinearity , vol.19 , pp. 305-328
    • Dumortier, F.1    Ibáñez, S.2    Kokubu, H.3
  • 124
    • 84976155237 scopus 로고
    • A degenerate singularity generating geometric Lorenz attractors
    • Dumortier F., Kokubu H., Oka H. A degenerate singularity generating geometric Lorenz attractors. Ergodic Theory Dynam. Systems 1995, 15:833-856.
    • (1995) Ergodic Theory Dynam. Systems , vol.15 , pp. 833-856
    • Dumortier, F.1    Kokubu, H.2    Oka, H.3
  • 125
    • 33646225464 scopus 로고
    • On the saddle-loop bifurcation
    • Springer-Verlag, Bifurcations of Planar Vector Fields
    • Dumortier F., Roussarie R. On the saddle-loop bifurcation. LNM 1990, Vol. 1455. Springer-Verlag.
    • (1990) LNM , vol.1455
    • Dumortier, F.1    Roussarie, R.2
  • 127
    • 84974232147 scopus 로고
    • Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3
    • Dumortier F., Roussarie R., Sotomayor J. Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3. Ergodic Theory Dynam. Systems 1987, 7:375-413.
    • (1987) Ergodic Theory Dynam. Systems , vol.7 , pp. 375-413
    • Dumortier, F.1    Roussarie, R.2    Sotomayor, J.3
  • 130
    • 0001491171 scopus 로고
    • Degenerate and non-trivial hyperbolic 2-polycycles: appearance of two independant Écalle-Roussarie compensators and Khovanskiǐ's theory
    • El Morsalani M., Mourtada A. Degenerate and non-trivial hyperbolic 2-polycycles: appearance of two independant Écalle-Roussarie compensators and Khovanskiǐ's theory. Nonlinearity 1994, 7:1593-1604.
    • (1994) Nonlinearity , vol.7 , pp. 1593-1604
    • El Morsalani, M.1    Mourtada, A.2
  • 131
    • 77957008108 scopus 로고    scopus 로고
    • DDE-BIFTOOL: A matlab package for bifurcation analysis of delay differential equations, Technical report, University of Leuven
    • K. Engelborghs, T. Luzyanina and G. Samaey, DDE-BIFTOOL: A matlab package for bifurcation analysis of delay differential equations, Technical report, University of Leuven (2001).
    • (2001)
    • Engelborghs, K.1    Luzyanina, T.2    Samaey, G.3
  • 132
    • 0001477332 scopus 로고
    • Double impulse solutions in nerve axon equations
    • Evans J.W., Fenichel N., Feroe J.A. Double impulse solutions in nerve axon equations. SIAM J. Appl. Math. 1982, 42:219-234.
    • (1982) SIAM J. Appl. Math. , vol.42 , pp. 219-234
    • Evans, J.W.1    Fenichel, N.2    Feroe, J.A.3
  • 133
    • 0022884016 scopus 로고
    • Existence of traveling wave trains in nerve axon equations
    • Feroe J.A. Existence of traveling wave trains in nerve axon equations. SIAM J. Appl. Math. 1986, 46:1079-1097.
    • (1986) SIAM J. Appl. Math. , vol.46 , pp. 1079-1097
    • Feroe, J.A.1
  • 134
    • 0010149727 scopus 로고
    • Homoclinic orbits in a parametrized saddle-focus system
    • Homoclinic chaos (Brussels, 1991)
    • Feroe J.A. Homoclinic orbits in a parametrized saddle-focus system. Physica D 1993, 62:254-262. Homoclinic chaos (Brussels, 1991).
    • (1993) Physica D , vol.62 , pp. 254-262
    • Feroe, J.A.1
  • 135
    • 0342924582 scopus 로고    scopus 로고
    • Global pathfollowing of homoclinic orbits in two-parameter flows
    • Fiedler B. Global pathfollowing of homoclinic orbits in two-parameter flows. Pitman Res. Notes Math. 1996, 352:79-146.
    • (1996) Pitman Res. Notes Math. , vol.352 , pp. 79-146
    • Fiedler, B.1
  • 136
    • 0039015620 scopus 로고    scopus 로고
    • Coalescence of reversible homoclinic orbits causes elliptic resonance
    • Fiedler B., Turaev D.V. Coalescence of reversible homoclinic orbits causes elliptic resonance. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 1996, 6:1007-1027.
    • (1996) Internat. J. Bifur. Chaos Appl. Sci. Engrg. , vol.6 , pp. 1007-1027
    • Fiedler, B.1    Turaev, D.V.2
  • 137
    • 0001037845 scopus 로고
    • Equivariant bifurcation theory and symmetry breaking
    • Field M.J. Equivariant bifurcation theory and symmetry breaking. J. Dynam. Differential Equations 1989, 1:369-421.
    • (1989) J. Dynam. Differential Equations , vol.1 , pp. 369-421
    • Field, M.J.1
  • 138
    • 0344956285 scopus 로고    scopus 로고
    • Lectures on bifurcations, dynamics and symmetry
    • Longman, Harlow
    • Field M.J. Lectures on bifurcations, dynamics and symmetry. Pitman Research Notes in Mathematics Series 1996, Vol. 356. Longman, Harlow.
    • (1996) Pitman Research Notes in Mathematics Series , vol.356
    • Field, M.J.1
  • 139
    • 60349108527 scopus 로고    scopus 로고
    • Dynamics and symmetry
    • Imperial College Press, London
    • Field M.J. Dynamics and symmetry. ICP Advanced Texts in Mathematics 2007, Vol. 3. Imperial College Press, London.
    • (2007) ICP Advanced Texts in Mathematics , vol.3
    • Field, M.J.1
  • 140
    • 0039898994 scopus 로고
    • Stationary bifurcation to limit cycles and heteroclinic cycles
    • Field M.J., Swift J.W. Stationary bifurcation to limit cycles and heteroclinic cycles. Nonlinearity 1991, 4:1001-1043.
    • (1991) Nonlinearity , vol.4 , pp. 1001-1043
    • Field, M.J.1    Swift, J.W.2
  • 141
    • 0001309540 scopus 로고
    • Bifocal homoclinic orbits in four dimensions
    • Fowler A.C., Sparrow C. Bifocal homoclinic orbits in four dimensions. Nonlinearity 1991, 4:1159-1182.
    • (1991) Nonlinearity , vol.4 , pp. 1159-1182
    • Fowler, A.C.1    Sparrow, C.2
  • 142
    • 0000917836 scopus 로고
    • The gluing bifurcation. I. Symbolic dynamics of the closed curves
    • Gambaudo J.-M., Glendinning P., Tresser C. The gluing bifurcation. I. Symbolic dynamics of the closed curves. Nonlinearity 1988, 1:203-214.
    • (1988) Nonlinearity , vol.1 , pp. 203-214
    • Gambaudo, J.-M.1    Glendinning, P.2    Tresser, C.3
  • 144
    • 0007646794 scopus 로고
    • Generation of a countable set of homoclinic flows through bifurcation
    • Gaspard P. Generation of a countable set of homoclinic flows through bifurcation. Phys. Lett. A 1983, 97:1-4.
    • (1983) Phys. Lett. A , vol.97 , pp. 1-4
    • Gaspard, P.1
  • 145
    • 77957004322 scopus 로고
    • Generation of a countable set of homoclinic flow through bifurcation in multidimensional systems
    • Gaspard P. Generation of a countable set of homoclinic flow through bifurcation in multidimensional systems. Acad. Roy. Belg. Bull. Cl. Sci. (5) 1984, 70:61-83.
    • (1984) Acad. Roy. Belg. Bull. Cl. Sci. (5) , vol.70 , pp. 61-83
    • Gaspard, P.1
  • 146
    • 0002895479 scopus 로고
    • Local birth of homoclinic chaos
    • Gaspard P. Local birth of homoclinic chaos. Physica D 1993, 62:94-122.
    • (1993) Physica D , vol.62 , pp. 94-122
    • Gaspard, P.1
  • 147
    • 0021442615 scopus 로고
    • Bifurcation phenomena near homoclinic systems: a two-parameter analysis
    • Gaspard P., Kapral R., Nicolis G. Bifurcation phenomena near homoclinic systems: a two-parameter analysis. J. Statist. Phys. 1984, 35:697-727.
    • (1984) J. Statist. Phys. , vol.35 , pp. 697-727
    • Gaspard, P.1    Kapral, R.2    Nicolis, G.3
  • 148
    • 0026931058 scopus 로고
    • Time averages for heteroclinic attractors
    • Gaunersdorfer A. Time averages for heteroclinic attractors. SIAM J. Appl. Math. 1992, 52:1476-1489.
    • (1992) SIAM J. Appl. Math. , vol.52 , pp. 1476-1489
    • Gaunersdorfer, A.1
  • 149
    • 54949085878 scopus 로고    scopus 로고
    • Example of a blue sky catastrophe
    • Amer. Math. Soc, Providence, RI, Methods of Qualitative Theory of Differential Equations and Related Topics
    • Gavrilov N.K., Shil'nikov A.L. Example of a blue sky catastrophe. Amer. Math. Soc. Transl. Ser. 2 2000, Vol. 200:99-105. Amer. Math. Soc, Providence, RI.
    • (2000) Amer. Math. Soc. Transl. Ser. 2 , vol.200 , pp. 99-105
    • Gavrilov, N.K.1    Shil'nikov, A.L.2
  • 150
    • 77956988991 scopus 로고    scopus 로고
    • Homoclinic period blow-up and the detection of multipulse solutions in lattice differential equations, preprint
    • M. Georgi, A. Jukes, J.S.W. Lamb and K. Webster, Homoclinic period blow-up and the detection of multipulse solutions in lattice differential equations, preprint (2008).
    • (2008)
    • Georgi, M.1    Jukes, A.2    Lamb, J.S.W.3    Webster, K.4
  • 153
    • 0042722421 scopus 로고    scopus 로고
    • From Morse-Smale to all knots and links
    • Ghrist R.W., Young T. From Morse-Smale to all knots and links. Nonlinearity 1998, 11:1111-1125.
    • (1998) Nonlinearity , vol.11 , pp. 1111-1125
    • Ghrist, R.W.1    Young, T.2
  • 154
    • 84974127826 scopus 로고
    • Subsidiary bifurcations near bifocal homoclinic orbits
    • Glendinning P. Subsidiary bifurcations near bifocal homoclinic orbits. Math. Proc. Cambridge Philos. Soc. 1989, 105:597-605.
    • (1989) Math. Proc. Cambridge Philos. Soc. , vol.105 , pp. 597-605
    • Glendinning, P.1
  • 155
    • 0021437639 scopus 로고
    • Local and global behavior near homoclinic orbits
    • Glendinning P., Sparrow C. Local and global behavior near homoclinic orbits. J. Statist. Phys. 1984, 35:645-696.
    • (1984) J. Statist. Phys. , vol.35 , pp. 645-696
    • Glendinning, P.1    Sparrow, C.2
  • 156
    • 34250127220 scopus 로고
    • T points: a codimension two heteroclinic bifurcation
    • Glendinning P., Sparrow C. T points: a codimension two heteroclinic bifurcation. J. Statist. Phys. 1986, 43:479-488.
    • (1986) J. Statist. Phys. , vol.43 , pp. 479-488
    • Glendinning, P.1    Sparrow, C.2
  • 157
    • 77957008601 scopus 로고    scopus 로고
    • Lorenz attractors in unfoldings of homoclinic flip bifurcations. Dynamical Systems (in press)
    • A. Golmakani and A.J. Homburg, Lorenz attractors in unfoldings of homoclinic flip bifurcations. Dynamical Systems (in press).
    • Golmakani, A.1    Homburg, A.J.2
  • 159
    • 0031186017 scopus 로고    scopus 로고
    • Bifurcations of systems with structurally unstable homoclinic orbits and moduli of Ω-equivalence
    • Gonchenko S.V., Shil'nikov L.P., Sten'kin O.V., Turaev D.V. Bifurcations of systems with structurally unstable homoclinic orbits and moduli of Ω-equivalence. Comput. Math. Appl. 1997, 34:111-142.
    • (1997) Comput. Math. Appl. , vol.34 , pp. 111-142
    • Gonchenko, S.V.1    Shil'nikov, L.P.2    Sten'kin, O.V.3    Turaev, D.V.4
  • 160
    • 0000617778 scopus 로고    scopus 로고
    • Complexity in the bifurcation structure of homoclinic loops to a saddle-focus
    • Gonchenko S.V., Turaev D.V., Gaspard P., Nicolis G. Complexity in the bifurcation structure of homoclinic loops to a saddle-focus. Nonlinearity 1997, 10:409-423.
    • (1997) Nonlinearity , vol.10 , pp. 409-423
    • Gonchenko, S.V.1    Turaev, D.V.2    Gaspard, P.3    Nicolis, G.4
  • 161
    • 0000030642 scopus 로고    scopus 로고
    • Irregular dynamics and homoclinic orbits to Hamiltonian saddle centres
    • Grotta Ragazzo C. Irregular dynamics and homoclinic orbits to Hamiltonian saddle centres. Comm. Pure Appl. Math. 1997, 50:105-147.
    • (1997) Comm. Pure Appl. Math. , vol.50 , pp. 105-147
    • Grotta Ragazzo, C.1
  • 162
    • 0031536604 scopus 로고    scopus 로고
    • On the stability of double homoclinic loops
    • Grotta Ragazzo C. On the stability of double homoclinic loops. Comm. Math. Phys. 1997, 184:251-272.
    • (1997) Comm. Math. Phys. , vol.184 , pp. 251-272
    • Grotta Ragazzo, C.1
  • 163
    • 84867972989 scopus 로고    scopus 로고
    • A plethora of three-dimensional periodic travelling gravity-capillary water waves with multipulse transverse profiles
    • Groves M.D., Sandstede B. A plethora of three-dimensional periodic travelling gravity-capillary water waves with multipulse transverse profiles. J. Nonlinear Sci. 2004, 14:297-340.
    • (2004) J. Nonlinear Sci. , vol.14 , pp. 297-340
    • Groves, M.D.1    Sandstede, B.2
  • 164
    • 27144542810 scopus 로고    scopus 로고
    • Bifurcations of polycycles 'apple' and 'half-apple' in typical two-parameter families
    • Grozovskiǐ T.M. Bifurcations of polycycles 'apple' and 'half-apple' in typical two-parameter families. Differ. Equ. 1996, 32:459-470.
    • (1996) Differ. Equ. , vol.32 , pp. 459-470
    • Grozovskiǐ, T.M.1
  • 165
    • 0008340999 scopus 로고
    • On a codimension two bifurcation
    • Springer, Berlin, Dynamical Systems and Turbulence
    • Guckenheimer J. On a codimension two bifurcation. Lecture Notes in Math. 1981, Vol. 898:99-142. Springer, Berlin.
    • (1981) Lecture Notes in Math. , vol.898 , pp. 99-142
    • Guckenheimer, J.1
  • 169
    • 0032623226 scopus 로고    scopus 로고
    • Homoclinic loop bifurcations on a Möbius band
    • Guimond L.-S. Homoclinic loop bifurcations on a Möbius band. Nonlinearity 1999, 12:59-78.
    • (1999) Nonlinearity , vol.12 , pp. 59-78
    • Guimond, L.-S.1
  • 170
    • 84896693165 scopus 로고    scopus 로고
    • Finite cyclicity of finite codimension nondegenerate homoclinic loops with real eigenvalues in R3
    • Guimond L.-S., Rousseau C. Finite cyclicity of finite codimension nondegenerate homoclinic loops with real eigenvalues in R3. Qual. Theory Dyn. Syst. 2001, 2:151-204.
    • (2001) Qual. Theory Dyn. Syst. , vol.2 , pp. 151-204
    • Guimond, L.-S.1    Rousseau, C.2
  • 171
    • 0007013021 scopus 로고
    • Examples of transverse homoclinic orbits in delay equations
    • Hale J.K., Lin X.-B. Examples of transverse homoclinic orbits in delay equations. Nonlinear Anal. 1986, 10:693-709.
    • (1986) Nonlinear Anal. , vol.10 , pp. 693-709
    • Hale, J.K.1    Lin, X.-B.2
  • 172
    • 0001330437 scopus 로고
    • Heteroclinic orbits for retarded functional-differential equations
    • Hale J.K., Lin X.-B. Heteroclinic orbits for retarded functional-differential equations. J. Differential Equations 1986, 65:175-202.
    • (1986) J. Differential Equations , vol.65 , pp. 175-202
    • Hale, J.K.1    Lin, X.-B.2
  • 173
    • 0006044307 scopus 로고    scopus 로고
    • Chaos near resonance
    • Springer-Verlag, New York
    • Haller G. Chaos near resonance. Applied Mathematical Sciences 1999, Vol. 138. Springer-Verlag, New York.
    • (1999) Applied Mathematical Sciences , vol.138
    • Haller, G.1
  • 174
    • 22244440263 scopus 로고    scopus 로고
    • Cascades of reversible homoclinic orbits to a saddle-focus equilibrium
    • Härterich J. Cascades of reversible homoclinic orbits to a saddle-focus equilibrium. Physica D 1998, 112:187-200.
    • (1998) Physica D , vol.112 , pp. 187-200
    • Härterich, J.1
  • 175
    • 0036998118 scopus 로고    scopus 로고
    • Exponential dichotomies for linear non-autonomous functional differential equations of mixed type
    • Härterich J., Sandstede B., Scheel A. Exponential dichotomies for linear non-autonomous functional differential equations of mixed type. Indiana Univ. Math. J. 2002, 51:1081-1109.
    • (2002) Indiana Univ. Math. J. , vol.51 , pp. 1081-1109
    • Härterich, J.1    Sandstede, B.2    Scheel, A.3
  • 176
    • 0000356514 scopus 로고
    • A proof that the Lorenz equations have a homoclinic orbit
    • Hastings S.P., Troy W.C. A proof that the Lorenz equations have a homoclinic orbit. J. Differential Equations 1994, 113:166-188.
    • (1994) J. Differential Equations , vol.113 , pp. 166-188
    • Hastings, S.P.1    Troy, W.C.2
  • 177
    • 25144507509 scopus 로고    scopus 로고
    • Classification of robust heteroclinic cycles for vector fields in R3 with symmetry
    • Hawker D., Ashwin P. Classification of robust heteroclinic cycles for vector fields in R3 with symmetry. J. Phys. A 2005, 38:8319-8335.
    • (2005) J. Phys. A , vol.38 , pp. 8319-8335
    • Hawker, D.1    Ashwin, P.2
  • 178
    • 27644497731 scopus 로고    scopus 로고
    • Robust bursting to the origin: heteroclinic cycles with maximal symmetry equilibria
    • Hawker D., Ashwin P. Robust bursting to the origin: heteroclinic cycles with maximal symmetry equilibria. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 2005, 15:2819-2832.
    • (2005) Internat. J. Bifur. Chaos Appl. Sci. Engrg. , vol.15 , pp. 2819-2832
    • Hawker, D.1    Ashwin, P.2
  • 179
    • 0031480448 scopus 로고    scopus 로고
    • Connecting invariant manifolds and the solution of the C1 stability and Ω-stability conjectures for flows
    • Hayashi S. Connecting invariant manifolds and the solution of the C1 stability and Ω-stability conjectures for flows. Ann. Math. (2) 1997, 145:81-137.
    • (1997) Ann. Math. (2) , vol.145 , pp. 81-137
    • Hayashi, S.1
  • 180
    • 22844456137 scopus 로고    scopus 로고
    • Correction to: 'Connecting invariant manifolds and the solution of the C1 stability and Ω-stability conjectures for flows' [Ann. Math. (2) 145 (1) (1997) 81-137]
    • Hayashi S. Correction to: 'Connecting invariant manifolds and the solution of the C1 stability and Ω-stability conjectures for flows' [Ann. Math. (2) 145 (1) (1997) 81-137]. Ann. Math. (2) 1999, 150:353-356.
    • (1999) Ann. Math. (2) , vol.150 , pp. 353-356
    • Hayashi, S.1
  • 181
    • 0003304963 scopus 로고
    • Geometric theory of semilinear parabolic equations
    • Springer-Verlag, Berlin
    • Henry D. Geometric theory of semilinear parabolic equations. Lecture Notes in Mathematics 1981, Vol. 840. Springer-Verlag, Berlin.
    • (1981) Lecture Notes in Mathematics , vol.840
    • Henry, D.1
  • 182
    • 0000036850 scopus 로고
    • Shil'nikov-Hopf bifurcation
    • Hirschberg P., Knobloch E. Shil'nikov-Hopf bifurcation. Physica D 1993, 62:202-216.
    • (1993) Physica D , vol.62 , pp. 202-216
    • Hirschberg, P.1    Knobloch, E.2
  • 185
    • 84995270426 scopus 로고
    • A strange family of three-dimensional vector fields near a degenerate singularity
    • Holmes P.J. A strange family of three-dimensional vector fields near a degenerate singularity. J. Differential Equations 1980, 37:382-403.
    • (1980) J. Differential Equations , vol.37 , pp. 382-403
    • Holmes, P.J.1
  • 186
    • 77957000271 scopus 로고
    • Symmetries, heteroclinic cycles and intermittency in fluid flow
    • Springer, New York
    • Holmes P.J. Symmetries, heteroclinic cycles and intermittency in fluid flow. Turbulence in Fluid Flows 1993, 49-58. Springer, New York.
    • (1993) Turbulence in Fluid Flows , pp. 49-58
    • Holmes, P.J.1
  • 187
    • 0030147357 scopus 로고    scopus 로고
    • Global aspects of homoclinic bifurcations of vector fields
    • viii+128
    • Homburg A.J. Global aspects of homoclinic bifurcations of vector fields. Mem. Amer. Math. Soc. 1996, 121. viii+128.
    • (1996) Mem. Amer. Math. Soc. , vol.121
    • Homburg, A.J.1
  • 188
    • 0032380682 scopus 로고    scopus 로고
    • Heteroclinic bifurcations of Ω-stable vector fields on 3-manifolds
    • Homburg A.J. Heteroclinic bifurcations of Ω-stable vector fields on 3-manifolds. Discrete Contin. Dynam. Systems 1998, 4:559-580.
    • (1998) Discrete Contin. Dynam. Systems , vol.4 , pp. 559-580
    • Homburg, A.J.1
  • 189
    • 0034148287 scopus 로고    scopus 로고
    • Singular heteroclinic cycles
    • Homburg A.J. Singular heteroclinic cycles. J. Differential Equations 2000, 161:358-402.
    • (2000) J. Differential Equations , vol.161 , pp. 358-402
    • Homburg, A.J.1
  • 190
    • 0041382564 scopus 로고    scopus 로고
    • Periodic attractors, strange attractors and hyperbolic dynamics near homoclinic orbits to saddle-focus equilibria
    • Homburg A.J. Periodic attractors, strange attractors and hyperbolic dynamics near homoclinic orbits to saddle-focus equilibria. Nonlinearity 2002, 15:1029-1050.
    • (2002) Nonlinearity , vol.15 , pp. 1029-1050
    • Homburg, A.J.1
  • 191
    • 58249103073 scopus 로고    scopus 로고
    • Saddle-nodes and period-doublings of smale horseshoes: a case study near resonant homoclinic bellows
    • Homburg A.J., Jukes A., Knobloch J., Lamb J.S.W. Saddle-nodes and period-doublings of smale horseshoes: a case study near resonant homoclinic bellows. Bull. Belg. Math. Soc. Simon Stevin 2008, 15:833-850.
    • (2008) Bull. Belg. Math. Soc. Simon Stevin , vol.15 , pp. 833-850
    • Homburg, A.J.1    Jukes, A.2    Knobloch, J.3    Lamb, J.S.W.4
  • 192
    • 77956991727 scopus 로고    scopus 로고
    • Bifurcation from codimension one relative homoclinic cycles, Transactions Amer. Math. Soc (in press)
    • A.J. Homburg, A.C. Jukes, J. Knobloch and J.S.W. Lamb, Bifurcation from codimension one relative homoclinic cycles, Transactions Amer. Math. Soc (in press).
    • Homburg, A.J.1    Jukes, A.C.2    Knobloch, J.3    Lamb, J.S.W.4
  • 193
    • 33645786256 scopus 로고    scopus 로고
    • Multiple homoclinic orbits in conservative and reversible systems
    • Homburg A.J., Knobloch J. Multiple homoclinic orbits in conservative and reversible systems. Trans. Amer. Math. Soc. 2006, 358:1715-1740.
    • (2006) Trans. Amer. Math. Soc. , vol.358 , pp. 1715-1740
    • Homburg, A.J.1    Knobloch, J.2
  • 194
    • 0001559874 scopus 로고
    • The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbit
    • Homburg A.J., Kokubu H., Krupa M. The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbit. Ergodic Theory Dynam. Systems 1994, 14:667-693.
    • (1994) Ergodic Theory Dynam. Systems , vol.14 , pp. 667-693
    • Homburg, A.J.1    Kokubu, H.2    Krupa, M.3
  • 197
    • 33751068656 scopus 로고    scopus 로고
    • Symmetric homoclinic tangles in reversible systems
    • Homburg A.J., Lamb J.S.W. Symmetric homoclinic tangles in reversible systems. Ergodic Theory Dynam. Systems 2006, 26:1769-1789.
    • (2006) Ergodic Theory Dynam. Systems , vol.26 , pp. 1769-1789
    • Homburg, A.J.1    Lamb, J.S.W.2
  • 198
    • 14044267496 scopus 로고    scopus 로고
    • Accumulations of T-points in a model for solitary pulses in an excitable reaction-diffusion medium
    • Homburg A.J., Natiello M.A. Accumulations of T-points in a model for solitary pulses in an excitable reaction-diffusion medium. Physica D 2005, 201:212-229.
    • (2005) Physica D , vol.201 , pp. 212-229
    • Homburg, A.J.1    Natiello, M.A.2
  • 199
    • 0035538228 scopus 로고    scopus 로고
    • Universal scalings in homoclinic doubling cascades
    • Homburg A.J., Young T. Universal scalings in homoclinic doubling cascades. Comm. Math. Phys. 2001, 222:269-292.
    • (2001) Comm. Math. Phys. , vol.222 , pp. 269-292
    • Homburg, A.J.1    Young, T.2
  • 200
    • 0030667565 scopus 로고    scopus 로고
    • An example of symmetry breaking to heteroclinic cycles
    • Hou C., Golubitsky M. An example of symmetry breaking to heteroclinic cycles. J. Differential Equations 1997, 133:30-48.
    • (1997) J. Differential Equations , vol.133 , pp. 30-48
    • Hou, C.1    Golubitsky, M.2
  • 201
    • 84990592094 scopus 로고
    • The classification of topologically expansive Lorenz maps
    • Hubbard J.H., Sparrow C. The classification of topologically expansive Lorenz maps. Comm. Pure Appl. Math. 1990, 43:431-443.
    • (1990) Comm. Pure Appl. Math. , vol.43 , pp. 431-443
    • Hubbard, J.H.1    Sparrow, C.2
  • 202
    • 77949824358 scopus 로고    scopus 로고
    • Lin's method and homoclinic bifurcations for functional differential equations of mixed type
    • Hupkes H.J., Verduyn-Lunel S.M. Lin's method and homoclinic bifurcations for functional differential equations of mixed type. Indiana Univ. Math. J. 2009, 58:2433-2487.
    • (2009) Indiana Univ. Math. J. , vol.58 , pp. 2433-2487
    • Hupkes, H.J.1    Verduyn-Lunel, S.M.2
  • 203
    • 0000759471 scopus 로고
    • Shil'nikov bifurcations in generic 4-unfoldings of a codimension-4 singularity
    • Ibáñez S., Rodríguez J.A. Shil'nikov bifurcations in generic 4-unfoldings of a codimension-4 singularity. J. Differential Equations 1995, 120:411-428.
    • (1995) J. Differential Equations , vol.120 , pp. 411-428
    • Ibáñez, S.1    Rodríguez, J.A.2
  • 204
    • 10944272553 scopus 로고    scopus 로고
    • Shil'nikov configurations in any generic unfolding of the nilpotent singularity of codimension three on R3
    • Ibáñez S., Rodríguez J.A. Shil'nikov configurations in any generic unfolding of the nilpotent singularity of codimension three on R3. J. Differential Equations 2005, 208:147-175.
    • (2005) J. Differential Equations , vol.208 , pp. 147-175
    • Ibáñez, S.1    Rodríguez, J.A.2
  • 205
    • 34250135318 scopus 로고
    • Limit cycles of polynomial vector fields with nondegenerate singular points on the real plane
    • Il'yashenko Y.S. Limit cycles of polynomial vector fields with nondegenerate singular points on the real plane. Funct. Anal. Appl. 1984, 18:199-209.
    • (1984) Funct. Anal. Appl. , vol.18 , pp. 199-209
    • Il'yashenko, Y.S.1
  • 206
    • 0035997405 scopus 로고    scopus 로고
    • Centennial history of Hilbert's 16th problem
    • Il'yashenko Y.S. Centennial history of Hilbert's 16th problem. Bull. Amer. Math. Soc. (N.S.) 2002, 39:301-354.
    • (2002) Bull. Amer. Math. Soc. (N.S.) , vol.39 , pp. 301-354
    • Il'yashenko, Y.S.1
  • 207
    • 0002838702 scopus 로고    scopus 로고
    • Nonlocal bifurcations
    • American Mathematical Society, Providence, RI
    • Il'yashenko Y.S., Li W. Nonlocal bifurcations. Mathematical Surveys and Monographs 1999, Vol. 66. American Mathematical Society, Providence, RI.
    • (1999) Mathematical Surveys and Monographs , vol.66
    • Il'yashenko, Y.S.1    Li, W.2
  • 208
    • 84957312349 scopus 로고
    • Finitely-smooth normal forms of local families of diffeomorphisms and vector fields
    • Il'yashenko Y.S., Yakovenko S.Y. Finitely-smooth normal forms of local families of diffeomorphisms and vector fields. Russ. Math. Surv. 1991, 46:1-43.
    • (1991) Russ. Math. Surv. , vol.46 , pp. 1-43
    • Il'yashenko, Y.S.1    Yakovenko, S.Y.2
  • 209
    • 0002015513 scopus 로고
    • Finite cyclicity of elementary polycycles in generic families
    • Amer. Math. Soc., Providence, RI
    • Il'yashenko Y.S., Yakovenko S.Y. Finite cyclicity of elementary polycycles in generic families. Concerning the Hilbert 16th problem 1995, 21-95. Amer. Math. Soc., Providence, RI.
    • (1995) Concerning the Hilbert 16th problem , pp. 21-95
    • Il'yashenko, Y.S.1    Yakovenko, S.Y.2
  • 210
    • 10644247466 scopus 로고    scopus 로고
    • Normal forms with exponentially small remainder: application to homoclinic connections for the reversible 02+iω resonance
    • Iooss G., Lombardi E. Normal forms with exponentially small remainder: application to homoclinic connections for the reversible 02+iω resonance. C. R. Math. Acad. Sci. Paris 2004, 339:831-838.
    • (2004) C. R. Math. Acad. Sci. Paris , vol.339 , pp. 831-838
    • Iooss, G.1    Lombardi, E.2
  • 211
    • 15444377780 scopus 로고    scopus 로고
    • Polynomial normal forms with exponentially small remainder for analytic vector fields
    • Iooss G., Lombardi E. Polynomial normal forms with exponentially small remainder for analytic vector fields. J. Differential Equations 2005, 212:1-61.
    • (2005) J. Differential Equations , vol.212 , pp. 1-61
    • Iooss, G.1    Lombardi, E.2
  • 212
    • 43949176143 scopus 로고
    • Perturbed homoclinic solutions in reversible 1:1 resonance vector fields
    • Iooss G., Pérouème M.-C. Perturbed homoclinic solutions in reversible 1:1 resonance vector fields. J. Differential Equations 1993, 102:62-88.
    • (1993) J. Differential Equations , vol.102 , pp. 62-88
    • Iooss, G.1    Pérouème, M.-C.2
  • 213
    • 0030528987 scopus 로고    scopus 로고
    • Tracking invariant manifolds up to exponentially small errors
    • Jones C.K.R.T., Kaper T.J., Kopell N. Tracking invariant manifolds up to exponentially small errors. SIAM J. Math. Anal. 1996, 27:558-577.
    • (1996) SIAM J. Math. Anal. , vol.27 , pp. 558-577
    • Jones, C.K.R.T.1    Kaper, T.J.2    Kopell, N.3
  • 214
    • 0032478448 scopus 로고    scopus 로고
    • Homotopy classes for stable connections between Hamiltonian saddle-focus equilibria
    • Kalies W.D., Kwapisz J., Vandervorst R.C.A.M. Homotopy classes for stable connections between Hamiltonian saddle-focus equilibria. Comm. Math. Phys. 1998, 193:337-371.
    • (1998) Comm. Math. Phys. , vol.193 , pp. 337-371
    • Kalies, W.D.1    Kwapisz, J.2    Vandervorst, R.C.A.M.3
  • 215
    • 0037934272 scopus 로고    scopus 로고
    • The existential Hilbert 16-th problem and an estimate for cyclicity of elementary polycycles
    • Kaloshin V.Y. The existential Hilbert 16-th problem and an estimate for cyclicity of elementary polycycles. Invent. Math. 2003, 151:451-512.
    • (2003) Invent. Math. , vol.151 , pp. 451-512
    • Kaloshin, V.Y.1
  • 216
    • 0000127722 scopus 로고    scopus 로고
    • Spatial dynamics of time periodic solutions for the Ginzburg-Landau equation
    • Kapitula T., Maier-Paape S. Spatial dynamics of time periodic solutions for the Ginzburg-Landau equation. Z. Angew. Math. Phys. 1996, 47:265-305.
    • (1996) Z. Angew. Math. Phys. , vol.47 , pp. 265-305
    • Kapitula, T.1    Maier-Paape, S.2
  • 217
    • 84967763051 scopus 로고
    • Chaotic behavior in piecewise continuous difference equations
    • Keener J.P. Chaotic behavior in piecewise continuous difference equations. Trans. Amer. Math. Soc. 1980, 261:589-604.
    • (1980) Trans. Amer. Math. Soc. , vol.261 , pp. 589-604
    • Keener, J.P.1
  • 218
    • 0000974261 scopus 로고
    • Noose bifurcation of periodic orbits
    • Kent P., Elgin J. Noose bifurcation of periodic orbits. Nonlinearity 1991, 4:1045-1061.
    • (1991) Nonlinearity , vol.4 , pp. 1045-1061
    • Kent, P.1    Elgin, J.2
  • 219
    • 0001343753 scopus 로고
    • Breaking of symmetry in the saddle-node Hopf bifurcation
    • Kirk V. Breaking of symmetry in the saddle-node Hopf bifurcation. Phys. Lett. A 1991, 154:243-248.
    • (1991) Phys. Lett. A , vol.154 , pp. 243-248
    • Kirk, V.1
  • 220
    • 0002391044 scopus 로고
    • Merging of resonance tongues
    • Kirk V. Merging of resonance tongues. Physica D 1993, 66:267-281.
    • (1993) Physica D , vol.66 , pp. 267-281
    • Kirk, V.1
  • 221
    • 22244472608 scopus 로고
    • A competition between heteroclinic cycles
    • Kirk V., Silber M. A competition between heteroclinic cycles. Nonlinearity 1994, 7:1605-1621.
    • (1994) Nonlinearity , vol.7 , pp. 1605-1621
    • Kirk, V.1    Silber, M.2
  • 222
    • 0001002402 scopus 로고
    • Bifurcations to N-homoclinic orbits and N-periodic orbits in vector fields
    • Kisaka M., Kokubu H., Oka H. Bifurcations to N-homoclinic orbits and N-periodic orbits in vector fields. J. Dynam. Differential Equations 1993, 5:305-357.
    • (1993) J. Dynam. Differential Equations , vol.5 , pp. 305-357
    • Kisaka, M.1    Kokubu, H.2    Oka, H.3
  • 223
    • 0001580295 scopus 로고
    • Supplement to homoclinic doubling bifurcation in vector fields
    • Longman Sci. Tech., Harlow
    • Kisaka M., Kokubu H., Oka H. Supplement to homoclinic doubling bifurcation in vector fields. Dynamical Systems (Santiago, 1990) 1993, 92-116. Longman Sci. Tech., Harlow.
    • (1993) Dynamical Systems (Santiago, 1990) , pp. 92-116
    • Kisaka, M.1    Kokubu, H.2    Oka, H.3
  • 224
    • 0242425111 scopus 로고    scopus 로고
    • Bifurcation of homoclinic orbits to a saddle-centre in reversible systems
    • Klaus J., Knobloch J. Bifurcation of homoclinic orbits to a saddle-centre in reversible systems. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 2003, 13:2603-2622.
    • (2003) Internat. J. Bifur. Chaos Appl. Sci. Engrg. , vol.13 , pp. 2603-2622
    • Klaus, J.1    Knobloch, J.2
  • 225
    • 53249125920 scopus 로고    scopus 로고
    • Bifurcation of degenerate homoclinics in reversible and conservative systems
    • Knobloch J. Bifurcation of degenerate homoclinics in reversible and conservative systems. J. Dynam. Differential Equations 1997, 9:427-444.
    • (1997) J. Dynam. Differential Equations , vol.9 , pp. 427-444
    • Knobloch, J.1
  • 226
    • 41549156504 scopus 로고    scopus 로고
    • Spatially localized structures in dissipative systems: open problems
    • T45-T60
    • Knobloch E. Spatially localized structures in dissipative systems: open problems. Nonlinearity 2008, 21. T45-T60.
    • (2008) Nonlinearity , vol.21
    • Knobloch, E.1
  • 227
    • 76149123202 scopus 로고    scopus 로고
    • Lin's method for heteroclinic chains involving periodic orbits
    • Knobloch J., Rieß T. Lin's method for heteroclinic chains involving periodic orbits. Nonlinearity 2010, 23:23-54.
    • (2010) Nonlinearity , vol.23 , pp. 23-54
    • Knobloch, J.1    Rieß, T.2
  • 228
    • 19944412544 scopus 로고    scopus 로고
    • Homoclinic snaking near a heteroclinic cycle in reversible systems
    • Knobloch J., Wagenknecht T. Homoclinic snaking near a heteroclinic cycle in reversible systems. Physica D 2005, 206:82-93.
    • (2005) Physica D , vol.206 , pp. 82-93
    • Knobloch, J.1    Wagenknecht, T.2
  • 229
    • 56449117106 scopus 로고    scopus 로고
    • Snaking of multiple homoclinic orbits in reversible systems
    • Knobloch J., Wagenknecht T. Snaking of multiple homoclinic orbits in reversible systems. SIAM J. Appl. Dyn. Syst. 2008, 7:1397-1420.
    • (2008) SIAM J. Appl. Dyn. Syst. , vol.7 , pp. 1397-1420
    • Knobloch, J.1    Wagenknecht, T.2
  • 230
    • 0000393425 scopus 로고
    • Homoclinic and heteroclinic bifurcations of vector fields
    • Kokubu H. Homoclinic and heteroclinic bifurcations of vector fields. Japan J. Appl. Math. 1988, 5:455-501.
    • (1988) Japan J. Appl. Math. , vol.5 , pp. 455-501
    • Kokubu, H.1
  • 231
    • 0030135926 scopus 로고    scopus 로고
    • Multiple homoclinic bifurcations from orbit flip. I. Successive homoclinic-doublings
    • Kokubu H., Komuro M., Oka H. Multiple homoclinic bifurcations from orbit flip. I. Successive homoclinic-doublings. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 1996, 6:833-850.
    • (1996) Internat. J. Bifur. Chaos Appl. Sci. Engrg. , vol.6 , pp. 833-850
    • Kokubu, H.1    Komuro, M.2    Oka, H.3
  • 232
    • 0012080134 scopus 로고    scopus 로고
    • Existence of infinitely many homoclinic-doubling bifurcations from some codimension- three homoclinic orbits
    • Kokubu H., Naudot V. Existence of infinitely many homoclinic-doubling bifurcations from some codimension- three homoclinic orbits. J. Dynam. Differential Equations 1997, 9:445-462.
    • (1997) J. Dynam. Differential Equations , vol.9 , pp. 445-462
    • Kokubu, H.1    Naudot, V.2
  • 233
    • 48249085183 scopus 로고    scopus 로고
    • Existence of a singularly degenerate heteroclinic cycle in the Lorenz system and its dynamical consequences. I
    • Kokubu H., Roussarie R. Existence of a singularly degenerate heteroclinic cycle in the Lorenz system and its dynamical consequences. I. J. Dynam. Differential Equations 2004, 16:513-557.
    • (2004) J. Dynam. Differential Equations , vol.16 , pp. 513-557
    • Kokubu, H.1    Roussarie, R.2
  • 234
    • 34548700917 scopus 로고    scopus 로고
    • Families of multi-round homoclinic and periodic orbits near a saddle-centre equilibrium
    • Koltsova O.Y. Families of multi-round homoclinic and periodic orbits near a saddle-centre equilibrium. Regul. Chaotic Dyn. 2003, 8:191-200.
    • (2003) Regul. Chaotic Dyn. , vol.8 , pp. 191-200
    • Koltsova, O.Y.1
  • 235
    • 0039015625 scopus 로고    scopus 로고
    • Families of transverse Poincaré homoclinic orbits in 2N-dimensional Hamiltonian systems close the system with a loop to a saddle-center
    • Koltsova O.Y., Lerman L.M. Families of transverse Poincaré homoclinic orbits in 2N-dimensional Hamiltonian systems close the system with a loop to a saddle-center. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 1996, 6:991-1006.
    • (1996) Internat. J. Bifur. Chaos Appl. Sci. Engrg. , vol.6 , pp. 991-1006
    • Koltsova, O.Y.1    Lerman, L.M.2
  • 236
    • 0001646745 scopus 로고
    • On few-parameter generic families of vector fields on the two-dimensional sphere
    • Amer. Math. Soc, Providence, RI
    • Kotova A., Stanzo V. On few-parameter generic families of vector fields on the two-dimensional sphere. Concerning the Hilbert 16th Problem 1995, 155-201. Amer. Math. Soc, Providence, RI.
    • (1995) Concerning the Hilbert 16th Problem , pp. 155-201
    • Kotova, A.1    Stanzo, V.2
  • 237
    • 33746376262 scopus 로고    scopus 로고
    • Asymptotics of large bound states of localized structures
    • Kozyreff G., Chapman S.J. Asymptotics of large bound states of localized structures. Phys. Rev. Lett. 2006, 97:044502.
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 044502
    • Kozyreff, G.1    Chapman, S.J.2
  • 238
    • 3142771892 scopus 로고    scopus 로고
    • A planar model system for the saddle-node Hopf bifurcation with global reinjection
    • Krauskopf B., Oldeman B.E. A planar model system for the saddle-node Hopf bifurcation with global reinjection. Nonlinearity 2004, 17:1119-1151.
    • (2004) Nonlinearity , vol.17 , pp. 1119-1151
    • Krauskopf, B.1    Oldeman, B.E.2
  • 239
    • 33747418994 scopus 로고    scopus 로고
    • Bifurcations of global reinjection orbits near a saddle-node hopf bifurcation
    • Krauskopf B., Oldeman B.E. Bifurcations of global reinjection orbits near a saddle-node hopf bifurcation. Nonlinearity 2006, 19:2149-2167.
    • (2006) Nonlinearity , vol.19 , pp. 2149-2167
    • Krauskopf, B.1    Oldeman, B.E.2
  • 240
    • 47849115552 scopus 로고    scopus 로고
    • A Lin's method approach to finding and continuing heteroclinic connections involving periodic orbits
    • Krauskopf B., Rieß T. A Lin's method approach to finding and continuing heteroclinic connections involving periodic orbits. Nonlinearity 2008, 21:1655-1690.
    • (2008) Nonlinearity , vol.21 , pp. 1655-1690
    • Krauskopf, B.1    Rieß, T.2
  • 241
    • 0001225644 scopus 로고    scopus 로고
    • Robust heteroclinic cycles
    • Krupa M. Robust heteroclinic cycles. J. Nonlinear Sci. 1997, 7:129-176.
    • (1997) J. Nonlinear Sci. , vol.7 , pp. 129-176
    • Krupa, M.1
  • 242
    • 11044229555 scopus 로고    scopus 로고
    • Asymptotic stability of heteroclinic cycles in systems with symmetry. II
    • Krupa M., Melbourne I. Asymptotic stability of heteroclinic cycles in systems with symmetry. II. Proc. Roy. Soc. Edinburgh Sect. A 2004, 134:1177-1197.
    • (2004) Proc. Roy. Soc. Edinburgh Sect. A , vol.134 , pp. 1177-1197
    • Krupa, M.1    Melbourne, I.2
  • 243
    • 84974489205 scopus 로고
    • Asymptotic stability of heteroclinic cycles in systems with symmetry
    • Krupa M., Melbourne I. Asymptotic stability of heteroclinic cycles in systems with symmetry. Ergodic Theory Dynam. Systems 1995, 15:121-147.
    • (1995) Ergodic Theory Dynam. Systems , vol.15 , pp. 121-147
    • Krupa, M.1    Melbourne, I.2
  • 244
    • 0038889885 scopus 로고
    • Nonasymptotically stable attractors in O(2) mode interactions
    • Amer. Math. Soc, Providence, RI
    • Krupa M., Melbourne I. Nonasymptotically stable attractors in O(2) mode interactions. Normal Forms and Homoclinic Chaos (Waterloo, ON, 1992) 1995, 219-232. Amer. Math. Soc, Providence, RI.
    • (1995) Normal Forms and Homoclinic Chaos (Waterloo, ON, 1992) , pp. 219-232
    • Krupa, M.1    Melbourne, I.2
  • 246
    • 0035511458 scopus 로고    scopus 로고
    • Extending slow manifolds near transcritical and pitchfork singularities
    • Krupa M., Szmolyan P. Extending slow manifolds near transcritical and pitchfork singularities. Nonlinearity 2001, 14:1473-1491.
    • (2001) Nonlinearity , vol.14 , pp. 1473-1491
    • Krupa, M.1    Szmolyan, P.2
  • 248
    • 0036252851 scopus 로고    scopus 로고
    • Belyakov homoclinic bifurcations in a tritrophic food chain model
    • Kuznetsov Y.A., De Feo O., Rinaldi S. Belyakov homoclinic bifurcations in a tritrophic food chain model. SIAM J. Appl. Math. 2001, 62:462-487.
    • (2001) SIAM J. Appl. Math. , vol.62 , pp. 462-487
    • Kuznetsov, Y.A.1    De Feo, O.2    Rinaldi, S.3
  • 250
    • 0040417308 scopus 로고
    • Bifurcation of contracting singular cycles
    • Labarca R. Bifurcation of contracting singular cycles. Ann. Sci. École Norm. Sup. (4) 1995, 28:705-745.
    • (1995) Ann. Sci. École Norm. Sup. (4) , vol.28 , pp. 705-745
    • Labarca, R.1
  • 251
    • 0010134852 scopus 로고
    • Stability of singularity horseshoes
    • Labarca R., Pacífico M.J. Stability of singularity horseshoes. Topology 1986, 25:337-352.
    • (1986) Topology , vol.25 , pp. 337-352
    • Labarca, R.1    Pacífico, M.J.2
  • 252
    • 0039234668 scopus 로고
    • Global stability of families of vector fields
    • Labarca R., Plaza S. Global stability of families of vector fields. Ergodic Theory Dynam. Systems 1993, 13:737-766.
    • (1993) Ergodic Theory Dynam. Systems , vol.13 , pp. 737-766
    • Labarca, R.1    Plaza, S.2
  • 253
    • 0002569105 scopus 로고    scopus 로고
    • Time-reversal symmetry in dynamical systems: a survey
    • Lamb J.S.W., Roberts J.A.G. Time-reversal symmetry in dynamical systems: a survey. Physica D 1998, 112:1-39.
    • (1998) Physica D , vol.112 , pp. 1-39
    • Lamb, J.S.W.1    Roberts, J.A.G.2
  • 254
    • 27944463177 scopus 로고    scopus 로고
    • Heteroclinic bifurcations near Hopf-zero bifurcation in reversible vector fields in R3
    • Lamb J.S.W., Teixeira M.A., Webster K.N. Heteroclinic bifurcations near Hopf-zero bifurcation in reversible vector fields in R3. J. Differential Equations 2005, 219:78-115.
    • (2005) J. Differential Equations , vol.219 , pp. 78-115
    • Lamb, J.S.W.1    Teixeira, M.A.2    Webster, K.N.3
  • 255
    • 0000965877 scopus 로고
    • The 'cocoon' bifurcations in three-dimensional systems with two fixed points
    • Lau Y.-T. The 'cocoon' bifurcations in three-dimensional systems with two fixed points. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 1992, 2:543-558.
    • (1992) Internat. J. Bifur. Chaos Appl. Sci. Engrg. , vol.2 , pp. 543-558
    • Lau, Y.-T.1
  • 256
    • 21344442919 scopus 로고    scopus 로고
    • A systematic study of heteroclinic cycles in dynamical systems with broken symmetries
    • Lauterbach R., Maier-Paape S., Reissner E. A systematic study of heteroclinic cycles in dynamical systems with broken symmetries. Proc. Roy. Soc. Edinburgh Sect. A 1996, 126:885-909.
    • (1996) Proc. Roy. Soc. Edinburgh Sect. A , vol.126 , pp. 885-909
    • Lauterbach, R.1    Maier-Paape, S.2    Reissner, E.3
  • 257
    • 0001798104 scopus 로고
    • Heteroclinic cycles in dynamical systems with broken spherical symmetry
    • Lauterbach R., Roberts M. Heteroclinic cycles in dynamical systems with broken spherical symmetry. J. Differential Equations 1992, 100:22-48.
    • (1992) J. Differential Equations , vol.100 , pp. 22-48
    • Lauterbach, R.1    Roberts, M.2
  • 258
    • 42249103383 scopus 로고
    • On estimates of the bifurcation values of the parameters of a Lorenz system
    • Leonov G.A. On estimates of the bifurcation values of the parameters of a Lorenz system. Russ. Math. Surv. 1988, 43:216-217.
    • (1988) Russ. Math. Surv. , vol.43 , pp. 216-217
    • Leonov, G.A.1
  • 259
    • 0000585774 scopus 로고
    • On the generation of limit cycles from separatrices
    • Leontovich E.A. On the generation of limit cycles from separatrices. Doklady Akad. Nauk SSSR (N.S.) 1951, 78:641-644.
    • (1951) Doklady Akad. Nauk SSSR (N.S.) , vol.78 , pp. 641-644
    • Leontovich, E.A.1
  • 260
    • 0039948260 scopus 로고
    • Hamiltonian systems with a separatrix loop of a saddle-center
    • Gor'kov. Gos. Univ., Gorki, (Russian)
    • Lerman L.M. Hamiltonian systems with a separatrix loop of a saddle-center. Methods of the Qualitative Theory of Differential Equations 1987, 89-103. Gor'kov. Gos. Univ., Gorki, (Russian).
    • (1987) Methods of the Qualitative Theory of Differential Equations , pp. 89-103
    • Lerman, L.M.1
  • 261
    • 84972438215 scopus 로고
    • Using Melnikovs method to solve Shil'nikovs problems
    • Lin X.-B. Using Melnikovs method to solve Shil'nikovs problems. Proc. Roy. Soc. Edinburgh 1990, 116A:295-325.
    • (1990) Proc. Roy. Soc. Edinburgh , vol.116 A , pp. 295-325
    • Lin, X.-B.1
  • 262
    • 23044526615 scopus 로고    scopus 로고
    • Construction and asymptotic stability of structurally stable internal layer solutions
    • Lin X.-B. Construction and asymptotic stability of structurally stable internal layer solutions. Trans. Amer. Math. Soc. 2001, 353:2983-3043.
    • (2001) Trans. Amer. Math. Soc. , vol.353 , pp. 2983-3043
    • Lin, X.-B.1
  • 263
    • 0007165965 scopus 로고    scopus 로고
    • Non-persistence of homoclinic connections for perturbed integrable reversible systems
    • Lombardi E. Non-persistence of homoclinic connections for perturbed integrable reversible systems. J. Dynam. Differential Equations 1999, 11:129-208.
    • (1999) J. Dynam. Differential Equations , vol.11 , pp. 129-208
    • Lombardi, E.1
  • 264
    • 0008032935 scopus 로고    scopus 로고
    • Oscillatory integrals and phenomena beyond all algebraic orders
    • Springer-Verlag, Berlin
    • Lombardi E. Oscillatory integrals and phenomena beyond all algebraic orders. Lecture Notes in Mathematics 2000, Vol. 1741. Springer-Verlag, Berlin.
    • (2000) Lecture Notes in Mathematics , vol.1741
    • Lombardi, E.1
  • 265
    • 0000241853 scopus 로고
    • Deterministic non-periodic flow
    • Lorenz E.N. Deterministic non-periodic flow. J. Atmos. Sci. 1963, 20:130-141.
    • (1963) J. Atmos. Sci. , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 266
    • 0001028637 scopus 로고
    • Bifurcations of dynamical systems with a saddle-point-separatrix loop
    • Lukyanov V.I. Bifurcations of dynamical systems with a saddle-point-separatrix loop. Differ. Equ. 1983, 18:1049-1059.
    • (1983) Differ. Equ. , vol.18 , pp. 1049-1059
    • Lukyanov, V.I.1
  • 268
    • 0347891502 scopus 로고    scopus 로고
    • Non-uniformly expanding dynamics in maps with singularities and criticalities
    • Luzzatto S., Tucker W. Non-uniformly expanding dynamics in maps with singularities and criticalities. Inst. Hautes Études Sci. Publ. Math. 1999, 89:179-226.
    • (1999) Inst. Hautes Études Sci. Publ. Math. , vol.89 , pp. 179-226
    • Luzzatto, S.1    Tucker, W.2
  • 269
    • 0038058271 scopus 로고    scopus 로고
    • Positive Lyapunov exponents for Lorenz-like families with criticalities
    • Luzzatto S., Viana M. Positive Lyapunov exponents for Lorenz-like families with criticalities. Astérisque 2000, 261:201-237.
    • (2000) Astérisque , vol.261 , pp. 201-237
    • Luzzatto, S.1    Viana, M.2
  • 271
    • 77956991068 scopus 로고    scopus 로고
    • Exponential dichotomies and Wiener-Hopf factorizations for mixed-type functional differential equations, J. Differential Equations (in press)
    • J. Mallet-Paret and S.M. Verduyn-Lunel, Exponential dichotomies and Wiener-Hopf factorizations for mixed-type functional differential equations, J. Differential Equations (in press).
    • Mallet-Paret, J.1    Verduyn-Lunel, S.M.2
  • 272
    • 77956992565 scopus 로고    scopus 로고
    • Existence and stability of multi-pulses with applications to nonlinear optics. Ph.D. thesis, Ohio State University
    • V. Manukian, Existence and stability of multi-pulses with applications to nonlinear optics. Ph.D. thesis, Ohio State University (2005).
    • (2005)
    • Manukian, V.1
  • 273
    • 67651001566 scopus 로고    scopus 로고
    • Multi-hump pulses in systems with reflection and phase invariance
    • Manukian V., Sandstede B. Multi-hump pulses in systems with reflection and phase invariance. J. Differential Equations 2009, 247:1866-1898.
    • (2009) J. Differential Equations , vol.247 , pp. 1866-1898
    • Manukian, V.1    Sandstede, B.2
  • 274
    • 0004769225 scopus 로고    scopus 로고
    • A subshift of finite type in the Takens-Bogdanov bifurcation with D3 symmetry
    • Matthies K. A subshift of finite type in the Takens-Bogdanov bifurcation with D3 symmetry. Doc. Math. 1999, 4:463-485.
    • (1999) Doc. Math. , vol.4 , pp. 463-485
    • Matthies, K.1
  • 275
    • 84930158757 scopus 로고
    • On a new type of bifurcations on manifolds
    • Medvedev V.S. On a new type of bifurcations on manifolds. Math. USSR, Sb. 1982, 41:403-407.
    • (1982) Math. USSR, Sb. , vol.41 , pp. 403-407
    • Medvedev, V.S.1
  • 276
    • 0010806569 scopus 로고
    • On the 'blue sky catastrophe' bifurcation on two-dimensional manifolds
    • Medvedev V.S. On the 'blue sky catastrophe' bifurcation on two-dimensional manifolds. Mat. Zametki 1992, 51:118-125.
    • (1992) Mat. Zametki , vol.51 , pp. 118-125
    • Medvedev, V.S.1
  • 277
    • 0002077676 scopus 로고
    • Intermittency as a codimension-three phenomenon
    • Melbourne I. Intermittency as a codimension-three phenomenon. J. Dynam. Differential Equations 1989, 1:347-367.
    • (1989) J. Dynam. Differential Equations , vol.1 , pp. 347-367
    • Melbourne, I.1
  • 278
    • 0000301793 scopus 로고
    • An example of a nonasymptotically stable attractor
    • Melbourne I. An example of a nonasymptotically stable attractor. Nonlinearity 1991, 4:835-844.
    • (1991) Nonlinearity , vol.4 , pp. 835-844
    • Melbourne, I.1
  • 279
    • 25544449558 scopus 로고
    • Steady solutions of the Kuramoto-Sivashinsky equation
    • Michelson D. Steady solutions of the Kuramoto-Sivashinsky equation. Physica D 1986, 19:89-111.
    • (1986) Physica D , vol.19 , pp. 89-111
    • Michelson, D.1
  • 280
    • 0002635502 scopus 로고
    • Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle-center
    • Mielke A., Holmes P.J., O'Reilly O. Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle-center. J. Dynam. Differential Equations 1992, 4:95-126.
    • (1992) J. Dynam. Differential Equations , vol.4 , pp. 95-126
    • Mielke, A.1    Holmes, P.J.2    O'Reilly, O.3
  • 282
    • 0000422050 scopus 로고    scopus 로고
    • On inclination-flip homoclinic orbit associated to a saddle-node singularity
    • Morales C.A. On inclination-flip homoclinic orbit associated to a saddle-node singularity. Bol. Soc. Brasil. Mat. (N.S.) 1996, 27:145-160.
    • (1996) Bol. Soc. Brasil. Mat. (N.S.) , vol.27 , pp. 145-160
    • Morales, C.A.1
  • 284
    • 0035289441 scopus 로고    scopus 로고
    • Inclination-flip homoclinic orbits arising from orbit-flip
    • Morales C.A., Pacífico M.J. Inclination-flip homoclinic orbits arising from orbit-flip. Nonlinearity 2001, 14:379-393.
    • (2001) Nonlinearity , vol.14 , pp. 379-393
    • Morales, C.A.1    Pacífico, M.J.2
  • 285
    • 0034348956 scopus 로고    scopus 로고
    • Strange attractors across the boundary of hyperbolic systems
    • Morales C.A., Pacífico M.J., Pujals E.R. Strange attractors across the boundary of hyperbolic systems. Comm. Math. Phys. 2000, 211:527-558.
    • (2000) Comm. Math. Phys. , vol.211 , pp. 527-558
    • Morales, C.A.1    Pacífico, M.J.2    Pujals, E.R.3
  • 286
    • 15944398340 scopus 로고    scopus 로고
    • Robust transitive singular sets for 3-flows are partially hyperbolic attractors or repellers
    • Morales C.A., Pacífico M.J., Pujals E.R. Robust transitive singular sets for 3-flows are partially hyperbolic attractors or repellers. Ann. Math. (2) 2004, 160:375-432.
    • (2004) Ann. Math. (2) , vol.160 , pp. 375-432
    • Morales, C.A.1    Pacífico, M.J.2    Pujals, E.R.3
  • 287
    • 27844557320 scopus 로고    scopus 로고
    • Expanding Lorenz attractors through resonant double homoclinic loops
    • Morales C.A., Pacífico M.J., San Martín B. Expanding Lorenz attractors through resonant double homoclinic loops. SIAM J. Math. Anal. 2005, 36:1836-1861.
    • (2005) SIAM J. Math. Anal. , vol.36 , pp. 1836-1861
    • Morales, C.A.1    Pacífico, M.J.2    San Martín, B.3
  • 288
    • 33847298113 scopus 로고    scopus 로고
    • Contracting Lorenz attractors through resonant double homoclinic loops
    • Morales C.A., Pacífico M.J., San Martín B. Contracting Lorenz attractors through resonant double homoclinic loops. SIAM J. Math. Anal. 2006, 38:309-332.
    • (2006) SIAM J. Math. Anal. , vol.38 , pp. 309-332
    • Morales, C.A.1    Pacífico, M.J.2    San Martín, B.3
  • 289
    • 0031280735 scopus 로고    scopus 로고
    • Singular strange attractors on the boundary of Morse-Smale systems
    • Morales C.A., Pujals E.R. Singular strange attractors on the boundary of Morse-Smale systems. Ann. Sci. École Norm. Sup. (4) 1997, 30:693-717.
    • (1997) Ann. Sci. École Norm. Sup. (4) , vol.30 , pp. 693-717
    • Morales, C.A.1    Pujals, E.R.2
  • 290
    • 0001309891 scopus 로고
    • Cyclicité finie des polycycles hyperboliques de champs de vecteurs du plan: mise sous forme normale
    • Springer, Berlin, Bifurcations of Planar Vector Fields (Luminy, 1989)
    • Mourtada A. Cyclicité finie des polycycles hyperboliques de champs de vecteurs du plan: mise sous forme normale. Lecture Notes in Math. 1990, Vol. 1455:272-314. Springer, Berlin.
    • (1990) Lecture Notes in Math. , vol.1455 , pp. 272-314
    • Mourtada, A.1
  • 291
    • 0001584408 scopus 로고
    • Cyclicité finie des polycycles hyperboliques de champs de vecteurs du plan. Algorithme de finitude
    • Mourtada A. Cyclicité finie des polycycles hyperboliques de champs de vecteurs du plan. Algorithme de finitude. Ann. Inst. Fourier (Grenoble) 1991, 41:719-753.
    • (1991) Ann. Inst. Fourier (Grenoble) , vol.41 , pp. 719-753
    • Mourtada, A.1
  • 292
    • 0002089448 scopus 로고
    • Degenerate and non-trivial hyperbolic polycycles with two vertices
    • Mourtada A. Degenerate and non-trivial hyperbolic polycycles with two vertices. J. Differential Equations 1994, 113:68-83.
    • (1994) J. Differential Equations , vol.113 , pp. 68-83
    • Mourtada, A.1
  • 294
    • 0030524098 scopus 로고    scopus 로고
    • Strange attractor in the unfolding of an inclination flip homoclinic orbit
    • Naudot V. Strange attractor in the unfolding of an inclination flip homoclinic orbit. Ergodic Theory Dynam. Systems 1996, 16:1071-1086.
    • (1996) Ergodic Theory Dynam. Systems , vol.16 , pp. 1071-1086
    • Naudot, V.1
  • 297
    • 11844288292 scopus 로고    scopus 로고
    • Resonant heteroclinic cycles and Lorenz type attractors in models for skewed varicose instability
    • Nguyen H.K., Homburg A.J. Resonant heteroclinic cycles and Lorenz type attractors in models for skewed varicose instability. Nonlinearity 2005, 18:155-173.
    • (2005) Nonlinearity , vol.18 , pp. 155-173
    • Nguyen, H.K.1    Homburg, A.J.2
  • 298
    • 27644532018 scopus 로고    scopus 로고
    • Global bifurcations to strange attractors in a model for skewed varicose instability in thermal convection
    • Nguyen H.K., Homburg A.J. Global bifurcations to strange attractors in a model for skewed varicose instability in thermal convection. Physica D 2005, 211:235-262.
    • (2005) Physica D , vol.211 , pp. 235-262
    • Nguyen, H.K.1    Homburg, A.J.2
  • 299
    • 0000933820 scopus 로고    scopus 로고
    • N-homoclinic bifurcations for homoclinic orbits changing their twisting
    • Nii S. N-homoclinic bifurcations for homoclinic orbits changing their twisting. J. Dynam. Differential Equations 1996, 8:549-572.
    • (1996) J. Dynam. Differential Equations , vol.8 , pp. 549-572
    • Nii, S.1
  • 300
    • 33645677332 scopus 로고
    • Bifurcations of a structurally unstable separatrix loop
    • 1654
    • Nozdracheva V.P. Bifurcations of a structurally unstable separatrix loop. Differ. Uravn. 1982, 18:1551-1558. 1654.
    • (1982) Differ. Uravn. , vol.18 , pp. 1551-1558
    • Nozdracheva, V.P.1
  • 302
    • 0039149506 scopus 로고    scopus 로고
    • Death of period-doublings: locating the homoclinic-doubling cascade
    • Oldeman B.E., Krauskopf B., Champneys A.R. Death of period-doublings: locating the homoclinic-doubling cascade. Physica D 2000, 146:100-120.
    • (2000) Physica D , vol.146 , pp. 100-120
    • Oldeman, B.E.1    Krauskopf, B.2    Champneys, A.R.3
  • 303
  • 304
    • 79955632290 scopus 로고
    • Systems with a homoclinic curve of multidimensional saddle-focus type, and spiral chaos
    • Ovsyannikov I.M., Shil'nikov L.P. Systems with a homoclinic curve of multidimensional saddle-focus type, and spiral chaos. Math. USSR Sbornik 1992, 73:415-443.
    • (1992) Math. USSR Sbornik , vol.73 , pp. 415-443
    • Ovsyannikov, I.M.1    Shil'nikov, L.P.2
  • 306
    • 0032265007 scopus 로고    scopus 로고
    • Infinite-modal maps with global chaotic behavior
    • Pacífico M.J., Rovella A., Viana M. Infinite-modal maps with global chaotic behavior. Ann. Math. (2) 1998, 148:1-44.
    • (1998) Ann. Math. (2) , vol.148 , pp. 1-44
    • Pacífico, M.J.1    Rovella, A.2    Viana, M.3
  • 307
    • 77956991566 scopus 로고    scopus 로고
    • Corrigendum: 'Infinite-modal maps with global chaotic behavior' [Ann. Math. (2) 148 (2) (1998) 441-484]
    • Pacífico M.J., Rovella A., Viana M. Corrigendum: 'Infinite-modal maps with global chaotic behavior' [Ann. Math. (2) 148 (2) (1998) 441-484]. Ann. Math. (2) 1999, 149:705.
    • (1999) Ann. Math. (2) , vol.149 , pp. 705
    • Pacífico, M.J.1    Rovella, A.2    Viana, M.3
  • 308
    • 0001435818 scopus 로고
    • A differentiable invariant of topological conjugacies and moduli of stability, Dynamical Systems, Vol. III-Warsaw, Soc. Math., France, Paris, Astérisque, No.
    • J. Palis, A differentiable invariant of topological conjugacies and moduli of stability, Dynamical Systems, Vol. III-Warsaw, Soc. Math., France, Paris, Astérisque, No. 51 (1978), 335-346.
    • (1978) , vol.51 , pp. 335-346
    • Palis, J.1
  • 309
    • 18844397808 scopus 로고    scopus 로고
    • A global perspective for non-conservative dynamics
    • Palis J. A global perspective for non-conservative dynamics. Ann. Inst. H. Poincaré Anal. Non Linéaire 2005, 22:485-507.
    • (2005) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.22 , pp. 485-507
    • Palis, J.1
  • 310
    • 43049119665 scopus 로고    scopus 로고
    • Open questions leading to a global perspective in dynamics
    • T37-T43
    • Palis J. Open questions leading to a global perspective in dynamics. Nonlinearity 2008, 21. T37-T43.
    • (2008) Nonlinearity , vol.21
    • Palis, J.1
  • 311
    • 0002366058 scopus 로고
    • Fifty problems in dynamical systems
    • Springer, Berlin, Dynamical Systems-Warwick 1974 (Proc. Sympos. Appl. Topology and Dynamical Systems, Univ. Warwick, Coventry, 1973/1974; presented to E.C. Zeeman on his fiftieth birthday)
    • Palis J., Pugh C.C. Fifty problems in dynamical systems. Lecture Notes in Math. 1975, Vol. 468:345-353. Springer, Berlin.
    • (1975) Lecture Notes in Math. , vol.468 , pp. 345-353
    • Palis, J.1    Pugh, C.C.2
  • 312
    • 0000104319 scopus 로고
    • Stability of parametrized families of gradient vector fields
    • Palis J., Takens F. Stability of parametrized families of gradient vector fields. Ann. Math. (2) 1983, 118:383-421.
    • (1983) Ann. Math. (2) , vol.118 , pp. 383-421
    • Palis, J.1    Takens, F.2
  • 315
    • 0001224746 scopus 로고    scopus 로고
    • Exponential dichotomies for solitary-wave solutions of semilinear elliptic equations on infinite cylinders
    • Peterhof D., Sandstede B., Scheel A. Exponential dichotomies for solitary-wave solutions of semilinear elliptic equations on infinite cylinders. J. Differential Equations 1997, 140:266-308.
    • (1997) J. Differential Equations , vol.140 , pp. 266-308
    • Peterhof, D.1    Sandstede, B.2    Scheel, A.3
  • 316
    • 0039505989 scopus 로고    scopus 로고
    • Bifurcation and stability of families of hyperbolic vector fields in dimension three
    • Plaza S., Vera J. Bifurcation and stability of families of hyperbolic vector fields in dimension three. Ann. Inst. H. Poincaré Anal. Non Linéaire 1997, 14:119-142.
    • (1997) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.14 , pp. 119-142
    • Plaza, S.1    Vera, J.2
  • 317
    • 14044258450 scopus 로고    scopus 로고
    • Dynamics in the 1:2 spatial resonance with broken reflection symmetry
    • Porter J., Knobloch E. Dynamics in the 1:2 spatial resonance with broken reflection symmetry. Physica D 2005, 201:318-344.
    • (2005) Physica D , vol.201 , pp. 318-344
    • Porter, J.1    Knobloch, E.2
  • 318
    • 21244491558 scopus 로고    scopus 로고
    • Regular and irregular cycling near a heteroclinic network
    • Postlethwaite C.M., Dawes J.H.P. Regular and irregular cycling near a heteroclinic network. Nonlinearity 2005, 18:1477-1509.
    • (2005) Nonlinearity , vol.18 , pp. 1477-1509
    • Postlethwaite, C.M.1    Dawes, J.H.P.2
  • 319
    • 33749489857 scopus 로고    scopus 로고
    • A codimension-two resonant bifurcation from a heteroclinic cycle with complex eigenvalues
    • Postlethwaite C.M., Dawes J.H.P. A codimension-two resonant bifurcation from a heteroclinic cycle with complex eigenvalues. Dyn. Syst. 2006, 21:313-336.
    • (2006) Dyn. Syst. , vol.21 , pp. 313-336
    • Postlethwaite, C.M.1    Dawes, J.H.P.2
  • 320
    • 84971848073 scopus 로고
    • The interaction of two spatially resonant patterns in thermal convection. I. Exact 1:2 resonance
    • Proctor M.R.E., Jones C.A. The interaction of two spatially resonant patterns in thermal convection. I. Exact 1:2 resonance. J. Fluid Mech. 1988, 188:301-335.
    • (1988) J. Fluid Mech. , vol.188 , pp. 301-335
    • Proctor, M.R.E.1    Jones, C.A.2
  • 321
    • 0007390661 scopus 로고    scopus 로고
    • Coexistence and persistence of strange attractors
    • Springer-Verlag, Berlin
    • Pumariño A., Rodríguez J.A. Coexistence and persistence of strange attractors. Lecture Notes in Mathematics 1997, Vol. 1658. Springer-Verlag, Berlin.
    • (1997) Lecture Notes in Mathematics , vol.1658
    • Pumariño, A.1    Rodríguez, J.A.2
  • 322
    • 0035621941 scopus 로고    scopus 로고
    • Coexistence and persistence of infinitely many strange attractors
    • Pumariño A., Rodríguez J.A. Coexistence and persistence of infinitely many strange attractors. Ergodic Theory Dynam. Systems 2001, 21:1511-1523.
    • (2001) Ergodic Theory Dynam. Systems , vol.21 , pp. 1511-1523
    • Pumariño, A.1    Rodríguez, J.A.2
  • 323
    • 27744536022 scopus 로고    scopus 로고
    • Homoclinic orbits near heteroclinic cycles with one equilibrium and one periodic orbit
    • Rademacher J.D.M. Homoclinic orbits near heteroclinic cycles with one equilibrium and one periodic orbit. J. Differential Equations 2005, 218:390-443.
    • (2005) J. Differential Equations , vol.218 , pp. 390-443
    • Rademacher, J.D.M.1
  • 324
    • 77952642583 scopus 로고    scopus 로고
    • Lyapunov-Schmidt reduction for unfolding heteroclinic networks of equilibria and periodic orbits with tangencies
    • Rademacher J.D.M. Lyapunov-Schmidt reduction for unfolding heteroclinic networks of equilibria and periodic orbits with tangencies. J. Differential Equations 2010, 249:305-348.
    • (2010) J. Differential Equations , vol.249 , pp. 305-348
    • Rademacher, J.D.M.1
  • 325
    • 84971184328 scopus 로고
    • The topological classification of Lorenz attractors
    • Rand D. The topological classification of Lorenz attractors. Math. Proc. Cambridge Philos. Soc. 1978, 83:451-460.
    • (1978) Math. Proc. Cambridge Philos. Soc. , vol.83 , pp. 451-460
    • Rand, D.1
  • 326
    • 0039825289 scopus 로고
    • Differentiability of the stable foliation for the model Lorenz equations
    • Springer, Berlin, Dynamical Systems and Turbulence
    • Robinson R.C. Differentiability of the stable foliation for the model Lorenz equations. Lecture Notes in Math. 1981, Vol. 898:302-315. Springer, Berlin.
    • (1981) Lecture Notes in Math. , vol.898 , pp. 302-315
    • Robinson, R.C.1
  • 327
    • 0000086970 scopus 로고
    • Homoclinic bifurcation to a transitive attractor of Lorenz type
    • Robinson R.C. Homoclinic bifurcation to a transitive attractor of Lorenz type. Nonlinearity 1989, 2:495-518.
    • (1989) Nonlinearity , vol.2 , pp. 495-518
    • Robinson, R.C.1
  • 328
    • 0007251283 scopus 로고
    • Homoclinic bifurcation to a transitive attractor of Lorenz type. II
    • Robinson R.C. Homoclinic bifurcation to a transitive attractor of Lorenz type. II. SIAM J. Math. Anal. 1992, 23:1255-1268.
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 1255-1268
    • Robinson, R.C.1
  • 329
    • 0034353690 scopus 로고    scopus 로고
    • Nonsymmetric Lorenz attractors from a homoclinic bifurcation
    • Robinson R.C. Nonsymmetric Lorenz attractors from a homoclinic bifurcation. SIAM J. Math. Anal. 2000, 32:119-141.
    • (2000) SIAM J. Math. Anal. , vol.32 , pp. 119-141
    • Robinson, R.C.1
  • 330
    • 0037445396 scopus 로고    scopus 로고
    • The stability of traveling calcium pulses in a pancreatic acinar cell
    • Romeo M.M., Jones C.K.R.T. The stability of traveling calcium pulses in a pancreatic acinar cell. Physica D 2003, 177:242-258.
    • (2003) Physica D , vol.177 , pp. 242-258
    • Romeo, M.M.1    Jones, C.K.R.T.2
  • 331
    • 51249171477 scopus 로고
    • On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
    • Roussarie R. On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields. Bol. Soc. Brasil. Mat. 1986, 17:67-101.
    • (1986) Bol. Soc. Brasil. Mat. , vol.17 , pp. 67-101
    • Roussarie, R.1
  • 332
    • 0003244212 scopus 로고    scopus 로고
    • Bifurcation of planar vector fields and Hilbert's sixteenth problem
    • Birkhäuser Verlag, Basel
    • Roussarie R. Bifurcation of planar vector fields and Hilbert's sixteenth problem. Progress in Mathematics 1998, Vol. 164. Birkhäuser Verlag, Basel.
    • (1998) Progress in Mathematics , vol.164
    • Roussarie, R.1
  • 334
    • 0039033481 scopus 로고
    • A study of the Bogdanov-Takens bifurcation
    • Roussarie R., Wagener F. A study of the Bogdanov-Takens bifurcation. Resenhas 1995, 2:1-25.
    • (1995) Resenhas , vol.2 , pp. 1-25
    • Roussarie, R.1    Wagener, F.2
  • 335
    • 0001108114 scopus 로고
    • The dynamics of perturbations of contracting Lorenz maps
    • Rovella A. The dynamics of perturbations of contracting Lorenz maps. Bol. Soc. Brasil. Mat. (N.S.) 1993, 24:233-259.
    • (1993) Bol. Soc. Brasil. Mat. (N.S.) , vol.24 , pp. 233-259
    • Rovella, A.1
  • 336
    • 84971972587 scopus 로고
    • Lorenz attractors through Shil'nikov-type bifurcation. Part I
    • Rychlik M.R. Lorenz attractors through Shil'nikov-type bifurcation. Part I. Ergodic Theory Dynam. Systems 1990, 10:793-821.
    • (1990) Ergodic Theory Dynam. Systems , vol.10 , pp. 793-821
    • Rychlik, M.R.1
  • 337
    • 0036375578 scopus 로고    scopus 로고
    • Numerical computation of connecting orbits in delay differential equations
    • Samaey G., Engelborghs K., Roose D. Numerical computation of connecting orbits in delay differential equations. Numer. Algorithms 2002, 30:335-352.
    • (2002) Numer. Algorithms , vol.30 , pp. 335-352
    • Samaey, G.1    Engelborghs, K.2    Roose, D.3
  • 338
    • 77956993483 scopus 로고
    • Verzweigungstheorie homokliner Verdopplungen. Ph.D. thesis, University of Stuttgart
    • B. Sandstede, Verzweigungstheorie homokliner Verdopplungen. Ph.D. thesis, University of Stuttgart (1993).
    • (1993)
    • Sandstede, B.1
  • 339
    • 0000836125 scopus 로고    scopus 로고
    • Constructing dynamical systems having homoclinic bifurcation points of codimension two
    • Sandstede B. Constructing dynamical systems having homoclinic bifurcation points of codimension two. J. Dynam. Differential Equations 1997, 9:269-288.
    • (1997) J. Dynam. Differential Equations , vol.9 , pp. 269-288
    • Sandstede, B.1
  • 340
    • 3142624970 scopus 로고    scopus 로고
    • Instability of localized buckling modes in a one-dimensional strut model
    • Sandstede B. Instability of localized buckling modes in a one-dimensional strut model. Philos. Trans. Roy. Soc. London Ser. A 1997, 355:2083-2097.
    • (1997) Philos. Trans. Roy. Soc. London Ser. A , vol.355 , pp. 2083-2097
    • Sandstede, B.1
  • 341
    • 0032338132 scopus 로고    scopus 로고
    • Stability of N-fronts bifurcating from a twisted heteroclinic loop and an application to the FitzHugh-Nagumo equation
    • Sandstede B. Stability of N-fronts bifurcating from a twisted heteroclinic loop and an application to the FitzHugh-Nagumo equation. SIAM J. Math. Anal. 1998, 29:183-207.
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 183-207
    • Sandstede, B.1
  • 342
    • 0007428880 scopus 로고    scopus 로고
    • Center manifolds for homoclinic solutions
    • Sandstede B. Center manifolds for homoclinic solutions. J. Dynam. Differential Equations 2000, 12:449-510.
    • (2000) J. Dynam. Differential Equations , vol.12 , pp. 449-510
    • Sandstede, B.1
  • 343
    • 77957003129 scopus 로고    scopus 로고
    • Multi-pulses in reversible conservative vector fields (in preparation)
    • B. Sandstede, Multi-pulses in reversible conservative vector fields (in preparation).
    • Sandstede, B.1
  • 344
    • 0031192318 scopus 로고    scopus 로고
    • Existence and stability of N-pulses on optical fibres with phase-sensitive amplifiers
    • Sandstede B., Jones C.K.R.T., Alexander J.C. Existence and stability of N-pulses on optical fibres with phase-sensitive amplifiers. Physica D 1997, 106:167-206.
    • (1997) Physica D , vol.106 , pp. 167-206
    • Sandstede, B.1    Jones, C.K.R.T.2    Alexander, J.C.3
  • 345
    • 0005862118 scopus 로고
    • Forced symmetry breaking of homoclinic cycles
    • Sandstede B., Scheel A. Forced symmetry breaking of homoclinic cycles. Nonlinearity 1995, 8:333-365.
    • (1995) Nonlinearity , vol.8 , pp. 333-365
    • Sandstede, B.1    Scheel, A.2
  • 346
    • 0035297089 scopus 로고    scopus 로고
    • Essential instabilities of fronts: bifurcation, and bifurcation failure
    • Sandstede B., Scheel A. Essential instabilities of fronts: bifurcation, and bifurcation failure. Dyn. Syst. 2001, 16:1-28.
    • (2001) Dyn. Syst. , vol.16 , pp. 1-28
    • Sandstede, B.1    Scheel, A.2
  • 347
    • 2942682726 scopus 로고    scopus 로고
    • Defects in oscillatory media: toward a classification
    • Sandstede B., Scheel A. Defects in oscillatory media: toward a classification. SIAM J. Appl. Dynam. Syst. 2004, 3:1-68.
    • (2004) SIAM J. Appl. Dynam. Syst. , vol.3 , pp. 1-68
    • Sandstede, B.1    Scheel, A.2
  • 348
    • 0346303116 scopus 로고    scopus 로고
    • Saddle-focus singular cycles and prevalence of hyperbolicity
    • San Martín B. Saddle-focus singular cycles and prevalence of hyperbolicity. Ann. Inst. H. Poincaré Anal. Non Linéaire 1998, 15:623-649.
    • (1998) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.15 , pp. 623-649
    • San Martín, B.1
  • 350
    • 0001449766 scopus 로고
    • The saddle-node separatrix-loop bifurcation
    • Schecter S. The saddle-node separatrix-loop bifurcation. SIAM J. Math. Anal. 1987, 18:1142-1156.
    • (1987) SIAM J. Math. Anal. , vol.18 , pp. 1142-1156
    • Schecter, S.1
  • 351
    • 43649096035 scopus 로고    scopus 로고
    • Exchange lemmas. II. General exchange lemma
    • Schecter S. Exchange lemmas. II. General exchange lemma. J. Differential Equations 2008, 245:411-441.
    • (2008) J. Differential Equations , vol.245 , pp. 411-441
    • Schecter, S.1
  • 352
    • 0346945401 scopus 로고
    • Bifurcation d'orbites périodiques à partir d'un cycle homocline symétrique
    • Scheel A., Chossat P. Bifurcation d'orbites périodiques à partir d'un cycle homocline symétrique. C. R. Acad. Sci. Paris Sér. I Math. 1992, 314:49-54.
    • (1992) C. R. Acad. Sci. Paris Sér. I Math. , vol.314 , pp. 49-54
    • Scheel, A.1    Chossat, P.2
  • 353
    • 0000935977 scopus 로고
    • Smooth linearization near a fixed point
    • Sell G.R. Smooth linearization near a fixed point. Amer. J. Math. 1985, 107:1035-1091.
    • (1985) Amer. J. Math. , vol.107 , pp. 1035-1091
    • Sell, G.R.1
  • 355
    • 0345664613 scopus 로고
    • On the bifurcations of separatrix contours on two-dimensional surfaces. I
    • Translation of Methods in qualitative theory and bifurcation theory (Russian), 116-129, Gor'kov. Gos. Univ., Gorki, 1989; MR1102920 (92d:34086). Selected translations
    • Shashkov M.V. On the bifurcations of separatrix contours on two-dimensional surfaces. I. Selecta Math. Soviet. 1992, 11:341-353. Translation of Methods in qualitative theory and bifurcation theory (Russian), 116-129, Gor'kov. Gos. Univ., Gorki, 1989; MR1102920 (92d:34086). Selected translations.
    • (1992) Selecta Math. Soviet. , vol.11 , pp. 341-353
    • Shashkov, M.V.1
  • 356
    • 77956990300 scopus 로고
    • On bifurcations of separatrix contours on two-dimensional surfaces. II
    • Translation of Methods in qualitative theory and bifurcation theory (Russian), 41-49, Nizhegorod. Gos. Univ., NizhniǐNovgorod, 1990; MR1224008 (94f:34081). Selected translations
    • Shashkov M.V. On bifurcations of separatrix contours on two-dimensional surfaces. II. Selecta Math. 1994, 13:175-182. Translation of Methods in qualitative theory and bifurcation theory (Russian), 41-49, Nizhegorod. Gos. Univ., NizhniǐNovgorod, 1990; MR1224008 (94f:34081). Selected translations.
    • (1994) Selecta Math. , vol.13 , pp. 175-182
    • Shashkov, M.V.1
  • 357
    • 77956993636 scopus 로고    scopus 로고
    • Impossibility of complete bifurcations description for some classes of systems with simple dynamics
    • World Sci. Publ., River Edge, NJ
    • Shashkov M.V. Impossibility of complete bifurcations description for some classes of systems with simple dynamics. International Conference on Differential Equations, Vol. 1, 2 (Berlin, 1999) 2000, 68-70. World Sci. Publ., River Edge, NJ.
    • (2000) International Conference on Differential Equations, Vol. 1, 2 (Berlin, 1999) , pp. 68-70
    • Shashkov, M.V.1
  • 358
    • 11844272223 scopus 로고
    • The existence of a smooth invariant foliation for Lorentz-type maps
    • Shashkov M.V., Shil'nikov L.P. The existence of a smooth invariant foliation for Lorentz-type maps. Differ. Equ. 1994, 30:536-544.
    • (1994) Differ. Equ. , vol.30 , pp. 536-544
    • Shashkov, M.V.1    Shil'nikov, L.P.2
  • 360
    • 0007395314 scopus 로고    scopus 로고
    • An existence theorem of smooth nonlocal center manifolds for systems close to a system with a homoclinic loop
    • Shashkov M.V., Turaev D.V. An existence theorem of smooth nonlocal center manifolds for systems close to a system with a homoclinic loop. J. Nonlinear Sci. 1999, 9:525-573.
    • (1999) J. Nonlinear Sci. , vol.9 , pp. 525-573
    • Shashkov, M.V.1    Turaev, D.V.2
  • 362
    • 0242276354 scopus 로고    scopus 로고
    • Orbits homoclinic to centre manifolds of conservative PDEs
    • Shatah J., Zeng C. Orbits homoclinic to centre manifolds of conservative PDEs. Nonlinearity 2003, 16:591-614.
    • (2003) Nonlinearity , vol.16 , pp. 591-614
    • Shatah, J.1    Zeng, C.2
  • 363
    • 0000407964 scopus 로고
    • Some cases of generation of period motions from singular trajectories
    • Shil'nikov L.P. Some cases of generation of period motions from singular trajectories. Mat. Sb. (N.S.) 1963, 61(103):443-466.
    • (1963) Mat. Sb. (N.S.) , vol.61 , Issue.103 , pp. 443-466
    • Shil'nikov, L.P.1
  • 364
    • 0001234956 scopus 로고
    • A case of the existence of a countable number of periodic motions
    • Shil'nikov L.P. A case of the existence of a countable number of periodic motions. Soviet Math. Dokl. 1965, 6:163-166.
    • (1965) Soviet Math. Dokl. , vol.6 , pp. 163-166
    • Shil'nikov, L.P.1
  • 365
    • 0000436083 scopus 로고
    • On the generation of a periodic motion from a trajectory which leaves and re-enters a saddle-saddle state of equilibrium
    • Shil'nikov L.P. On the generation of a periodic motion from a trajectory which leaves and re-enters a saddle-saddle state of equilibrium. Sov. Math., Dokl. 1966, 7:1155-1158.
    • (1966) Sov. Math., Dokl. , vol.7 , pp. 1155-1158
    • Shil'nikov, L.P.1
  • 366
    • 0001215210 scopus 로고
    • On the generation of a periodic motion from trajectories doubly asymptotic to an equilibrium state of saddle type
    • Shil'nikov L.P. On the generation of a periodic motion from trajectories doubly asymptotic to an equilibrium state of saddle type. Math. USSR Sbornik 1968, 6:427-438.
    • (1968) Math. USSR Sbornik , vol.6 , pp. 427-438
    • Shil'nikov, L.P.1
  • 367
    • 0041545971 scopus 로고
    • A certain new type of bifurcation of multidimensional dynamic systems
    • Shil'nikov L.P. A certain new type of bifurcation of multidimensional dynamic systems. Dokl. Akad. Nauk SSSR 1969, 189:59-62.
    • (1969) Dokl. Akad. Nauk SSSR , vol.189 , pp. 59-62
    • Shil'nikov, L.P.1
  • 368
    • 84956230541 scopus 로고
    • A contribution to the problem of the structure of an extended neighborhood of a rough state of saddle-focus type
    • Shil'nikov L.P. A contribution to the problem of the structure of an extended neighborhood of a rough state of saddle-focus type. Math. USSR Sbornik 1970, 10:91-102.
    • (1970) Math. USSR Sbornik , vol.10 , pp. 91-102
    • Shil'nikov, L.P.1
  • 369
    • 0039825288 scopus 로고
    • The bifurcation theory and quasi-hyperbolic attractors
    • Shil'nikov L.P. The bifurcation theory and quasi-hyperbolic attractors. Uspehi Mat. Nauk 1981, 36:240-241.
    • (1981) Uspehi Mat. Nauk , vol.36 , pp. 240-241
    • Shil'nikov, L.P.1
  • 370
    • 0000764166 scopus 로고
    • On bifurcations of the Lorenz attractor in the Shimizu-Morioka model
    • Shil'nikov A.L. On bifurcations of the Lorenz attractor in the Shimizu-Morioka model. Physica D 1993, 62:338-346.
    • (1993) Physica D , vol.62 , pp. 338-346
    • Shil'nikov, A.L.1
  • 372
    • 34047093643 scopus 로고    scopus 로고
    • Homoclinic bifurcations of periodic orbits en a route from tonic-spiking to bursting in neuron models
    • Shil'nikov A.L., Cymbalyuk G. Homoclinic bifurcations of periodic orbits en a route from tonic-spiking to bursting in neuron models. Regul. Chaotic Dyn. 2004, 9:281-297.
    • (2004) Regul. Chaotic Dyn. , vol.9 , pp. 281-297
    • Shil'nikov, A.L.1    Cymbalyuk, G.2
  • 377
    • 77957005345 scopus 로고    scopus 로고
    • Super-homoclinic orbits and multi-pulse homoclinic loops in Hamiltonian systems with discrete symmetries
    • [V.I. Arnol'd (on the occasion of his 60th birthday) (Russian)]
    • Shil'nikov L.P., Turaev D.V. Super-homoclinic orbits and multi-pulse homoclinic loops in Hamiltonian systems with discrete symmetries. Regul. Khaoticheskaya Din. 1997, 2:126-138. [V.I. Arnol'd (on the occasion of his 60th birthday) (Russian)].
    • (1997) Regul. Khaoticheskaya Din. , vol.2 , pp. 126-138
    • Shil'nikov, L.P.1    Turaev, D.V.2
  • 379
    • 0036749699 scopus 로고    scopus 로고
    • Homoclinic solutions for Swift-Hohenberg and suspension bridge type equations
    • Smets D., van den Berg J.B. Homoclinic solutions for Swift-Hohenberg and suspension bridge type equations. J. Differential Equations 2002, 184:78-96.
    • (2002) J. Differential Equations , vol.184 , pp. 78-96
    • Smets, D.1    van den Berg, J.B.2
  • 380
    • 0034301190 scopus 로고    scopus 로고
    • Traveling waves of calcium in pancreatic acinar cells: model construction and bifurcation analysis
    • Sneyd J., LeBeau A., Yule D. Traveling waves of calcium in pancreatic acinar cells: model construction and bifurcation analysis. Physica D 2000, 145:158-179.
    • (2000) Physica D , vol.145 , pp. 158-179
    • Sneyd, J.1    LeBeau, A.2    Yule, D.3
  • 381
    • 0038391468 scopus 로고    scopus 로고
    • Complete classification of homoclinic cycles in R4 in the case of a symmetry group G⊂SO(4)
    • Sottocornola N. Complete classification of homoclinic cycles in R4 in the case of a symmetry group G⊂SO(4). C. R. Math. Acad. Sci. Paris 2002, 334:859-864.
    • (2002) C. R. Math. Acad. Sci. Paris , vol.334 , pp. 859-864
    • Sottocornola, N.1
  • 382
    • 0242339750 scopus 로고    scopus 로고
    • Robust homoclinic cycles in R4
    • Sottocornola N. Robust homoclinic cycles in R4. Nonlinearity 2003, 16:1-24.
    • (2003) Nonlinearity , vol.16 , pp. 1-24
    • Sottocornola, N.1
  • 383
    • 12344263690 scopus 로고    scopus 로고
    • Simple homoclinic cycles in low-dimensional spaces
    • Sottocornola N. Simple homoclinic cycles in low-dimensional spaces. J. Differential Equations 2005, 210:135-154.
    • (2005) J. Differential Equations , vol.210 , pp. 135-154
    • Sottocornola, N.1
  • 385
    • 0000542238 scopus 로고
    • On the structure of local homeomorphisms of euclidean n-space. II
    • Sternberg S. On the structure of local homeomorphisms of euclidean n-space. II. Amer. J. Math. 1958, 80:623-631.
    • (1958) Amer. J. Math. , vol.80 , pp. 623-631
    • Sternberg, S.1
  • 386
    • 0025447065 scopus 로고
    • Random perturbations of heteroclinic attractors
    • Stone E., Holmes P.J. Random perturbations of heteroclinic attractors. SIAM J. Appl. Math. 1990, 50:726-743.
    • (1990) SIAM J. Appl. Math. , vol.50 , pp. 726-743
    • Stone, E.1    Holmes, P.J.2
  • 387
    • 13844253903 scopus 로고    scopus 로고
    • Homoclinic bifurcations in symmetric unfoldings of a singularity with three-fold zero eigenvalue
    • Sun J.H. Homoclinic bifurcations in symmetric unfoldings of a singularity with three-fold zero eigenvalue. Acta Math. Sin. (Engl. Ser.) 2005, 21:65-80.
    • (2005) Acta Math. Sin. (Engl. Ser.) , vol.21 , pp. 65-80
    • Sun, J.H.1
  • 388
    • 0000152319 scopus 로고
    • Partially hyperbolic fixed points
    • Takens F. Partially hyperbolic fixed points. Topology 1971, 10:133-147.
    • (1971) Topology , vol.10 , pp. 133-147
    • Takens, F.1
  • 389
    • 0002533366 scopus 로고
    • Forced oscillations and bifurcations
    • Math. Inst. Rijksuniv. Utrecht, Utrecht, (Comm. Math. Inst. Rijksuniv. Utrecht, No. 3-1974)
    • Takens F. Forced oscillations and bifurcations. Applications of Global Analysis, I (Sympos., Utrecht State Univ., Utrecht, 1973) 1974, 1-59. Math. Inst. Rijksuniv. Utrecht, Utrecht, (Comm. Math. Inst. Rijksuniv. Utrecht, No. 3-1974).
    • (1974) Applications of Global Analysis, I (Sympos., Utrecht State Univ., Utrecht, 1973) , pp. 1-59
    • Takens, F.1
  • 391
    • 0346565731 scopus 로고
    • Global phenomena in bifurcations of dynamical systems with simple recurrence, Jahresber. Deutsch. Math.-Verein.
    • F. Takens, Global phenomena in bifurcations of dynamical systems with simple recurrence, Jahresber. Deutsch. Math.-Verein., 81 (1978/79) 87-96.
    • (1978) , vol.81 , Issue.79 , pp. 87-96
    • Takens, F.1
  • 392
    • 0242379902 scopus 로고
    • Moduli and bifurcations; nontransversal intersections of invariant manifolds of vectorfields
    • Springer, Berlin, Functional Differential Equations and Bifurcation (Proc. Conf., Inst. Ciênc. Mat. São Carlos, Univ. São Paulo, São Carlos, 1979)
    • Takens F. Moduli and bifurcations; nontransversal intersections of invariant manifolds of vectorfields. Lecture Notes in Math. 1980, Vol. 799:368-384. Springer, Berlin.
    • (1980) Lecture Notes in Math. , vol.799 , pp. 368-384
    • Takens, F.1
  • 393
    • 0007348981 scopus 로고
    • Heteroclinic attractors: time averages and moduli of topological conjugacy
    • Takens F. Heteroclinic attractors: time averages and moduli of topological conjugacy. Bol. Soc. Brasil. Mat. (N.S.) 1994, 25:107-120.
    • (1994) Bol. Soc. Brasil. Mat. (N.S.) , vol.25 , pp. 107-120
    • Takens, F.1
  • 394
    • 44949161870 scopus 로고    scopus 로고
    • Forced oscillations and bifurcations
    • Inst. Phys., Bristol
    • Takens F. Forced oscillations and bifurcations. Global Analysis of Dynamical Systems 2001, 1-61. Inst. Phys., Bristol.
    • (2001) Global Analysis of Dynamical Systems , pp. 1-61
    • Takens, F.1
  • 395
    • 84974514564 scopus 로고
    • A modulus of 3-dimensional vector fields
    • Togawa Y. A modulus of 3-dimensional vector fields. Ergodic Theory Dynam. Systems 1987, 7:295-301.
    • (1987) Ergodic Theory Dynam. Systems , vol.7 , pp. 295-301
    • Togawa, Y.1
  • 398
    • 0002061016 scopus 로고    scopus 로고
    • A rigorous ODE solver and Smale's 14th problem
    • Tucker W. A rigorous ODE solver and Smale's 14th problem. Found. Comput. Math. 2002, 2:53-117.
    • (2002) Found. Comput. Math. , vol.2 , pp. 53-117
    • Tucker, W.1
  • 399
    • 0011351772 scopus 로고
    • Bifurcations of a homoclinic 'figure-eight' of a multidimensional saddle
    • Turaev D.V. Bifurcations of a homoclinic 'figure-eight' of a multidimensional saddle. Russian Math. Surveys 1988, 43:264-265.
    • (1988) Russian Math. Surveys , vol.43 , pp. 264-265
    • Turaev, D.V.1
  • 402
    • 33750534853 scopus 로고    scopus 로고
    • An example of a resonant homoclinic loop of infinite cyclicity
    • Turaev D.V. An example of a resonant homoclinic loop of infinite cyclicity. Mosc. Math. J. 2005, 5:283-293.
    • (2005) Mosc. Math. J. , vol.5 , pp. 283-293
    • Turaev, D.V.1
  • 403
    • 0000980419 scopus 로고
    • On bifurcations of a homoclinic 'figure-eight' for a saddle with negative saddle value
    • Turaev D.V., Shil'nikov L.P. On bifurcations of a homoclinic 'figure-eight' for a saddle with negative saddle value. Soviet. Math. Dokl. 1987, 34:397-401.
    • (1987) Soviet. Math. Dokl. , vol.34 , pp. 397-401
    • Turaev, D.V.1    Shil'nikov, L.P.2
  • 404
    • 0001118559 scopus 로고
    • On Hamiltonian systems with homoclinic saddle curves
    • Turaev D.V., Shil'nikov L.P. On Hamiltonian systems with homoclinic saddle curves. Soviet Math. Dokl. 1989, 39:165-168.
    • (1989) Soviet Math. Dokl. , vol.39 , pp. 165-168
    • Turaev, D.V.1    Shil'nikov, L.P.2
  • 406
    • 17644415794 scopus 로고    scopus 로고
    • An example of a wild strange attractor
    • Turaev D.V., Shil'nikov L.P. An example of a wild strange attractor. Mat. Sb. 1998, 189:137-160.
    • (1998) Mat. Sb. , vol.189 , pp. 137-160
    • Turaev, D.V.1    Shil'nikov, L.P.2
  • 408
    • 0036926756 scopus 로고    scopus 로고
    • Stable patterns for fourth-order parabolic equations
    • van den Berg J.B., Vandervorst R.C.A.M. Stable patterns for fourth-order parabolic equations. Duke Math. J. 2002, 115:513-558.
    • (2002) Duke Math. J. , vol.115 , pp. 513-558
    • van den Berg, J.B.1    Vandervorst, R.C.A.M.2
  • 409
    • 0242276338 scopus 로고    scopus 로고
    • Parameter dependence of homoclinic solutions in a single long Josephson junction
    • van den Berg J.B., van Gils S.A., Visser T.P.P. Parameter dependence of homoclinic solutions in a single long Josephson junction. Nonlinearity 2003, 16:707-717.
    • (2003) Nonlinearity , vol.16 , pp. 707-717
    • van den Berg, J.B.1    van Gils, S.A.2    Visser, T.P.P.3
  • 410
    • 0002876557 scopus 로고
    • Centre manifolds, normal forms and elementary bifurcations
    • Wiley, Chichester
    • Vanderbauwhede A. Centre manifolds, normal forms and elementary bifurcations. Dynamics Reported 2 1989, 89-169. Wiley, Chichester.
    • (1989) Dynamics Reported 2 , pp. 89-169
    • Vanderbauwhede, A.1
  • 411
    • 0012104323 scopus 로고
    • Bifurcation of degenerate homoclinics
    • Vanderbauwhede A. Bifurcation of degenerate homoclinics. Results Math. 1992, 21:211-223.
    • (1992) Results Math. , vol.21 , pp. 211-223
    • Vanderbauwhede, A.1
  • 412
    • 0000034625 scopus 로고
    • Homoclinic period blow-up in reversible and conservative systems
    • Vanderbauwhede A., Fiedler B. Homoclinic period blow-up in reversible and conservative systems. Z. Angew. Math. Phys. 1992, 43:292-318.
    • (1992) Z. Angew. Math. Phys. , vol.43 , pp. 292-318
    • Vanderbauwhede, A.1    Fiedler, B.2
  • 414
    • 77957002367 scopus 로고
    • One parameter families of vector fields, bifurcations near saddle-connections. Ph.D. thesis, Utrecht University
    • S.J. van Strien, One parameter families of vector fields, bifurcations near saddle-connections. Ph.D. thesis, Utrecht University, 1982.
    • (1982)
    • van Strien, S.J.1
  • 415
    • 0242348385 scopus 로고
    • Global stability of generic two-parameter families of gradients on three-manifolds
    • Springer, Berlin, Dynamical Systems and Bifurcations (Groningen, 1984)
    • Vegter G. Global stability of generic two-parameter families of gradients on three-manifolds. Lecture Notes in Math. 1985, Vol. 1125:107-129. Springer, Berlin.
    • (1985) Lecture Notes in Math. , vol.1125 , pp. 107-129
    • Vegter, G.1
  • 416
    • 3042867109 scopus 로고    scopus 로고
    • Stability of quasi-transversal bifurcation of vector fields on 3-manifolds
    • Vera J. Stability of quasi-transversal bifurcation of vector fields on 3-manifolds. Nonlinearity 1996, 9:943-972.
    • (1996) Nonlinearity , vol.9 , pp. 943-972
    • Vera, J.1
  • 417
    • 0041972685 scopus 로고    scopus 로고
    • About a homoclinic pitchfork bifurcation in reversible systems with additional Z2-symmetry
    • Wagenknecht T. About a homoclinic pitchfork bifurcation in reversible systems with additional Z2-symmetry. Nonlinearity 2002, 15:2097-2119.
    • (2002) Nonlinearity , vol.15 , pp. 2097-2119
    • Wagenknecht, T.1
  • 418
    • 14844331449 scopus 로고    scopus 로고
    • Two-heteroclinic orbits emerging in the reversible homoclinic pitchfork bifurcation
    • Wagenknecht T. Two-heteroclinic orbits emerging in the reversible homoclinic pitchfork bifurcation. Nonlinearity 2005, 18:527-542.
    • (2005) Nonlinearity , vol.18 , pp. 527-542
    • Wagenknecht, T.1
  • 419
    • 0037445381 scopus 로고    scopus 로고
    • When gap solitons become embedded solitons: a generic unfolding
    • Wagenknecht T., Champneys A.R. When gap solitons become embedded solitons: a generic unfolding. Physica D 2003, 177:50-70.
    • (2003) Physica D , vol.177 , pp. 50-70
    • Wagenknecht, T.1    Champneys, A.R.2
  • 420
    • 24144495753 scopus 로고    scopus 로고
    • Bifurcations of n-homoclinic orbits in optically injected lasers
    • Wieczorek S., Krauskopf B. Bifurcations of n-homoclinic orbits in optically injected lasers. Nonlinearity 2005, 18:1095-1120.
    • (2005) Nonlinearity , vol.18 , pp. 1095-1120
    • Wieczorek, S.1    Krauskopf, B.2
  • 421
    • 0142119428 scopus 로고    scopus 로고
    • Chaos in the Kuramoto-Sivashinsky equations-a computer-assisted proof
    • Wilczak D. Chaos in the Kuramoto-Sivashinsky equations-a computer-assisted proof. J. Differential Equations 2003, 194:433-459.
    • (2003) J. Differential Equations , vol.194 , pp. 433-459
    • Wilczak, D.1
  • 422
    • 77956997116 scopus 로고    scopus 로고
    • Symmetric homoclinic solutions to the periodic orbits in the Michelson system
    • Wilczak D. Symmetric homoclinic solutions to the periodic orbits in the Michelson system. Topol. Methods Nonlinear Anal. 2006, 28:155-170.
    • (2006) Topol. Methods Nonlinear Anal. , vol.28 , pp. 155-170
    • Wilczak, D.1
  • 424
    • 0346500773 scopus 로고    scopus 로고
    • Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate reversible Hamiltonian-Hopf bifurcation
    • Woods P.D., Champneys A.R. Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate reversible Hamiltonian-Hopf bifurcation. Physica D 1999, 129:147-170.
    • (1999) Physica D , vol.129 , pp. 147-170
    • Woods, P.D.1    Champneys, A.R.2
  • 425
    • 0041086027 scopus 로고    scopus 로고
    • An equivariant, inclination-flip, heteroclinic bifurcation
    • Worfolk P.A. An equivariant, inclination-flip, heteroclinic bifurcation. Nonlinearity 1996, 9:631-647.
    • (1996) Nonlinearity , vol.9 , pp. 631-647
    • Worfolk, P.A.1
  • 426
    • 0003345730 scopus 로고    scopus 로고
    • Theory and applications of partial functional-differential equations
    • Springer-Verlag, New York
    • Wu J. Theory and applications of partial functional-differential equations. Applied Mathematical Sciences 1996, Vol. 119. Springer-Verlag, New York.
    • (1996) Applied Mathematical Sciences , vol.119
    • Wu, J.1
  • 427
    • 32844464987 scopus 로고    scopus 로고
    • Detection of symmetric homoclinic orbits to saddle-centres in reversible systems
    • Yagasaki K., Wagenknecht T. Detection of symmetric homoclinic orbits to saddle-centres in reversible systems. Physica D 2006, 214:169-181.
    • (2006) Physica D , vol.214 , pp. 169-181
    • Yagasaki, K.1    Wagenknecht, T.2
  • 428
    • 0002422398 scopus 로고
    • Branching of double pulse solutions from single pulse solutions in nerve axon equations
    • Yanagida E. Branching of double pulse solutions from single pulse solutions in nerve axon equations. J. Differential Equations 1987, 66:243-262.
    • (1987) J. Differential Equations , vol.66 , pp. 243-262
    • Yanagida, E.1
  • 429
    • 0010765318 scopus 로고    scopus 로고
    • Multipulses of nonlinearly coupled Schrödinger equations
    • Yew A.C. Multipulses of nonlinearly coupled Schrödinger equations. J. Differential Equations 2001, 173:92-137.
    • (2001) J. Differential Equations , vol.173 , pp. 92-137
    • Yew, A.C.1
  • 430
    • 0002223697 scopus 로고
    • Period doubling cascades of attractors: a prerequisite for horseshoes
    • Yorke J.A., Alligood K.T. Period doubling cascades of attractors: a prerequisite for horseshoes. Comm. Math. Phys. 1985, 101:305-321.
    • (1985) Comm. Math. Phys. , vol.101 , pp. 305-321
    • Yorke, J.A.1    Alligood, K.T.2
  • 433
  • 434
    • 0001829239 scopus 로고    scopus 로고
    • Shil'nikov-saddle-node interaction near a codimension-2 bifurcation: laser with injected signal
    • Zimmermann M.G., Natiello M.A., Solari H.G. Shil'nikov-saddle-node interaction near a codimension-2 bifurcation: laser with injected signal. Physica D 1997, 109:293-314.
    • (1997) Physica D , vol.109 , pp. 293-314
    • Zimmermann, M.G.1    Natiello, M.A.2    Solari, H.G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.