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Volumn 18, Issue 1, 2005, Pages 391-414

Dynamics near a heteroclinic network

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EID: 11844279059     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/18/1/019     Document Type: Article
Times cited : (53)

References (29)
  • 1
    • 11844284112 scopus 로고    scopus 로고
    • PhD Thesis Departamento de Matemátiea Aplicada Faculdade de Ciências da Universidade do Porto
    • Aguiar M A D 2002 Vector fields with heteroclinic networks PhD Thesis Departamento de Matemátiea Aplicada Faculdade de Ciências da Universidade do Porto
    • (2002) Vector Fields with Heteroclinic Networks
    • Aguiar, M.A.D.1
  • 4
    • 0037355056 scopus 로고    scopus 로고
    • Noisy heteroclinic networks
    • Armbruster D, Stone E and Kirk V 2003 Noisy heteroclinic networks Chaos 13 71-9
    • (2003) Chaos , vol.13 , pp. 71-79
    • Armbruster, D.1    Stone, E.2    Kirk, V.3
  • 5
    • 0039306687 scopus 로고    scopus 로고
    • Attractors for robust heteroclinic cycles with continua of connections
    • Ashwin P and Chossat P 1998 Attractors for robust heteroclinic cycles with continua of connections J. Nonlinear Sci. 8 103-29
    • (1998) J. Nonlinear Sci. , vol.8 , pp. 103-129
    • Ashwin, P.1    Chossat, P.2
  • 6
    • 0033413296 scopus 로고    scopus 로고
    • Heteroclinic networks in coupled cell systems
    • Ashwin P and Field M 1999 Heteroclinic networks in coupled cell systems Arch. Ration. Mech. Anal. 148 107-43
    • (1999) Arch. Ration. Mech. Anal. , vol.148 , pp. 107-143
    • Ashwin, P.1    Field, M.2
  • 7
    • 0011289134 scopus 로고
    • Heteroclinic networks on the tetrahedron
    • Brannath W 1994 Heteroclinic networks on the tetrahedron Nonlinearity 7 1367-84
    • (1994) Nonlinearity , vol.7 , pp. 1367-1384
    • Brannath, W.1
  • 8
    • 0012924316 scopus 로고
    • Bifurcation from O(2) symmetric heteroclinic cycles with three interacting modes
    • Campbell S A and Holmes P 1991 Bifurcation from O(2) symmetric heteroclinic cycles with three interacting modes Nonlinearity 4 697-726
    • (1991) Nonlinearity , vol.4 , pp. 697-726
    • Campbell, S.A.1    Holmes, P.2
  • 9
    • 0000190211 scopus 로고    scopus 로고
    • Coexistence of infinitely many attractors in a simple flow
    • Chawanya T 1997 Coexistence of infinitely many attractors in a simple flow Physica D 109 201-41
    • (1997) Physica D , vol.109 , pp. 201-241
    • Chawanya, T.1
  • 10
    • 0043281184 scopus 로고    scopus 로고
    • Generalized heteroclinic cycles in spherically invariant systems and their perturbations
    • Chossat P, Guyard F and Lauterbach R 1999 Generalized heteroclinic cycles in spherically invariant systems and their perturbations J. Nonlinear Sci. 9 479-524
    • (1999) J. Nonlinear Sci. , vol.9 , pp. 479-524
    • Chossat, P.1    Guyard, F.2    Lauterbach, R.3
  • 11
    • 0347999539 scopus 로고    scopus 로고
    • Heteroclinic cycles and wreath product symmetries
    • Dias A P S, Dionne B and Stewart I 2000 Heteroclinic cycles and wreath product symmetries Dyn. Stab. Syst. 15 353-85
    • (2000) Dyn. Stab. Syst. , vol.15 , pp. 353-385
    • Dias, A.P.S.1    Dionne, B.2    Stewart, I.3
  • 12
    • 84967792016 scopus 로고
    • Equivariant dynamical systems
    • Field M J 1980 Equivariant dynamical systems Trans. Am. Math. Soc. 259 185-205
    • (1980) Trans. Am. Math. Soc. , vol.259 , pp. 185-205
    • Field, M.J.1
  • 13
    • 0001037845 scopus 로고
    • Equivariant bifurcation theory and symmetry breaking
    • Field M J 1989 Equivariant bifurcation theory and symmetry breaking J. Dyn. Diff. Eqns 1 369-421
    • (1989) J. Dyn. Diff. Eqns , vol.1 , pp. 369-421
    • Field, M.J.1
  • 14
    • 51249163942 scopus 로고
    • Symmetry-breaking and branching patterns in equivariant bifurcation theory, II
    • Field M J and Richardson R W 1992 Symmetry-breaking and branching patterns in equivariant bifurcation theory, II Arch. Ration. Mech. Anal. 120 147-90
    • (1992) Arch. Ration. Mech. Anal. , vol.120 , pp. 147-190
    • Field, M.J.1    Richardson, R.W.2
  • 15
    • 0039898994 scopus 로고
    • Stationary bifurcation to limit cycles and heteroclinic cycles
    • Field M and Swift J W 1992 Stationary bifurcation to limit cycles and heteroclinic cycles Nonlinearity 4 1001-43
    • (1992) Nonlinearity , vol.4 , pp. 1001-1043
    • Field, M.1    Swift, J.W.2
  • 20
    • 11844252228 scopus 로고    scopus 로고
    • Department of Mathematics and Computer Science, University of Paderborn
    • Junge O 2000 GAIO - Reference Manual Version 1.2 Department of Mathematics and Computer Science, University of Paderborn
    • (2000) GAIO - Reference Manual Version 1.2
    • Junge, O.1
  • 21
    • 22244472608 scopus 로고
    • A competition between heteroclinic cycles
    • Kirk V and Silber M 1994 A competition between heteroclinic cycles Nonlinearity 7 1605-21
    • (1994) Nonlinearity , vol.7 , pp. 1605-1621
    • Kirk, V.1    Silber, M.2
  • 22
    • 0001225644 scopus 로고    scopus 로고
    • Robust heteroclinic cycles
    • Krupa M 1997 Robust heteroclinic cycles J. Nonlinear Sci. 7 129-76
    • (1997) J. Nonlinear Sci. , vol.7 , pp. 129-176
    • Krupa, M.1
  • 23
    • 0001798104 scopus 로고
    • Heteroclinic cycles in dynamical systems with broken spherical symmetry
    • Lauterbach R and Roberts M 1992 Heteroclinic cycles in dynamical systems with broken spherical symmetry J. Diff. Eqns 100 22-48
    • (1992) J. Diff. Eqns , vol.100 , pp. 22-48
    • Lauterbach, R.1    Roberts, M.2
  • 24
    • 84971194609 scopus 로고
    • Heteroclinic cycles involving periodic solutions in mode interactions with O(2) symmetry
    • Melbourne I, Chossat P and Golubitsky M 1989 Heteroclinic cycles involving periodic solutions in mode interactions with O(2) symmetry Proc. R. Soc. Edinb. A 113 315-45
    • (1989) Proc. R. Soc. Edinb. A , vol.113 , pp. 315-345
    • Melbourne, I.1    Chossat, P.2    Golubitsky, M.3
  • 26
    • 0009325376 scopus 로고
    • Linearization of a system of differential equations in the neighborhood of a singular point
    • Samovol V S 1972 Linearization of a system of differential equations in the neighborhood of a singular point Sov. Math. Dokl. 13 1255-9
    • (1972) Sov. Math. Dokl. , vol.13 , pp. 1255-1259
    • Samovol, V.S.1
  • 27
    • 0001416943 scopus 로고
    • Symmetry-breaking Hopf bifurcation in anisotropic systems
    • Silber M, Riecke H and Kramer L 1992 Symmetry-breaking Hopf bifurcation in anisotropic systems Physica D 61 260-78
    • (1992) Physica D , vol.61 , pp. 260-278
    • Silber, M.1    Riecke, H.2    Kramer, L.3
  • 29
    • 0041086027 scopus 로고    scopus 로고
    • An equivariant, inclination-flip, heteroclinic bifurcation
    • Worfolk P A 1996 An equivariant, inclination-flip, heteroclinic bifurcation Nonlinearity 9 631-47
    • (1996) Nonlinearity , vol.9 , pp. 631-647
    • Worfolk, P.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.