-
1
-
-
0002512816
-
Homoclinic orbits in the dynamic phase-space analogy of an elastic strut
-
Amick C. J., Toland J. F.: Homoclinic orbits in the dynamic phase-space analogy of an elastic strut. Eur. J. Appl. Math. 3(2), 97-114 (1992).
-
(1992)
Eur. J. Appl. Math.
, vol.3
, Issue.2
, pp. 97-114
-
-
Amick, C.J.1
Toland, J.F.2
-
2
-
-
22244488957
-
Bifurcations of systems with a homoclinic curve of the saddle-focus with a zero saddle value
-
Belyakov L. A.: Bifurcations of systems with a homoclinic curve of the saddle-focus with a zero saddle value. Mat. Zametki 36(5), 681-689 (1984).
-
(1984)
Mat. Zametki
, vol.36
, Issue.5
, pp. 681-689
-
-
Belyakov, L.A.1
-
3
-
-
0001210206
-
Homoclinic curves and complex solitary waves
-
Belyakov L. A., Shil'nikov L. P.: Homoclinic curves and complex solitary waves. Sel. Math. Sov. 9(3), 219-228 (1990).
-
(1990)
Sel. Math. Sov.
, vol.9
, Issue.3
, pp. 219-228
-
-
Belyakov, L.A.1
Shil'nikov, L.P.2
-
4
-
-
0001870459
-
The dynamics of the H énon map
-
Benedicks M., Carleson L.: The dynamics of the H énon map. Ann. Math. (2) 133(1), 73-169 (1991).
-
(1991)
Ann. Math. (2)
, vol.133
, Issue.1
, pp. 73-169
-
-
Benedicks, M.1
Carleson, L.2
-
5
-
-
0002447210
-
Nouvelles recherches sur les systèmes dynamiques
-
Birkhoff G. D.: Nouvelles recherches sur les systèmes dynamiques. Mém. Pont. Acad. Sci. Novi Lyncaei 1, 85-216 (1935).
-
(1935)
Mém. Pont. Acad. Sci. Novi Lyncaei
, vol.1
, pp. 85-216
-
-
Birkhoff, G.D.1
-
7
-
-
0000144949
-
Periodic and homoclinic orbits for Lorentz-Lagrangian systems via variational methods
-
Buffoni B.: Periodic and homoclinic orbits for Lorentz-Lagrangian systems via variational methods. Nonlinear Anal. 26(3), 443-462 (1996).
-
(1996)
Nonlinear Anal.
, vol.26
, Issue.3
, pp. 443-462
-
-
Buffoni, B.1
-
8
-
-
53349120754
-
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. Dyn. Diff. Equ. 8(2), 221-279 (1996).
-
(1996)
J. Dyn. Diff. Equ.
, vol.8
, Issue.2
, pp. 221-279
-
-
Buffoni, B.1
Champneys, A.R.2
Toland, J.F.3
-
9
-
-
0000654735
-
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 112(1-2), 158-186 (1998).
-
(1998)
Physica D
, vol.112
, Issue.1-2
, pp. 158-186
-
-
Champneys, A.R.1
-
10
-
-
36149031023
-
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 6(5), 665-721 (1993).
-
(1993)
Nonlinearity
, vol.6
, Issue.5
, pp. 665-721
-
-
Champneys, A.R.1
Toland, J.F.2
-
11
-
-
85025784004
-
An example of bifurcation to homoclinic orbits
-
Chow S. N., Hale J. K., Mallet-Paret J.: An example of bifurcation to homoclinic orbits. J. Differ. Equ. 37, 351-373 (1980).
-
(1980)
J. Differ. Equ.
, vol.37
, pp. 351-373
-
-
Chow, S.N.1
Hale, J.K.2
Mallet-Paret, J.3
-
13
-
-
0000107832
-
Homoclinic orbits in Hamiltonian systems
-
Devaney R. L.: Homoclinic orbits in Hamiltonian systems. J. Differ. Equ. 21(2), 431-438 (1976).
-
(1976)
J. Differ. Equ.
, vol.21
, Issue.2
, pp. 431-438
-
-
Devaney, R.L.1
-
14
-
-
81155151726
-
Synchronization and chaos in coupled systems: The model of two coupled brusselators
-
Ph. D. thesis, Universidad de Oviedo
-
Drubi, F.: Synchronization and chaos in coupled systems: The model of two coupled brusselators. Ph. D. thesis, Universidad de Oviedo (2009).
-
(2009)
-
-
Drubi, F.1
-
16
-
-
0030594437
-
Nilpotent singularities in generic 4-parameter families of 3-dimensional vector fields
-
Dumortier F., Ibáñez S.: Nilpotent singularities in generic 4-parameter families of 3-dimensional vector fields. J. Differ. Equ. 127(2), 590-647 (1996).
-
(1996)
J. Differ. Equ.
, vol.127
, Issue.2
, pp. 590-647
-
-
Dumortier, F.1
Ibáñez, S.2
-
17
-
-
0035297094
-
New aspects in the unfolding of the nilpotent singularity of codimension three
-
Dumortier F., Ibáñez S., Kokubu H.: New aspects in the unfolding of the nilpotent singularity of codimension three. Dyn. Syst. 16(1), 63-95 (2001).
-
(2001)
Dyn. Syst.
, vol.16
, Issue.1
, pp. 63-95
-
-
Dumortier, F.1
Ibáñez, S.2
Kokubu, H.3
-
18
-
-
30644465842
-
Cocoon bifurcation in three-dimensional reversible vector fields
-
Dumortier F., Ibáñez S., Kokubu H.: Cocoon bifurcation in three-dimensional reversible vector fields. Nonlinearity 19(2), 305-328 (2006).
-
(2006)
Nonlinearity
, vol.19
, Issue.2
, pp. 305-328
-
-
Dumortier, F.1
Ibáñez, S.2
Kokubu, H.3
-
19
-
-
81155151729
-
About the unfolding of a hopf-zero singularity
-
In progress
-
Dumortier, F., Ibáñez, S., Kokubu, H., Simó, C.: About the unfolding of a hopf-zero singularity. In progress.
-
-
-
Dumortier, F.1
Ibáñez, S.2
Kokubu, H.3
Simó, C.4
-
21
-
-
0001309540
-
Bifocal homoclinic orbits in four dimensions
-
Fowler A. C., Sparrow C. T.: Bifocal homoclinic orbits in four dimensions. Nonlinearity 4(4), 1159-1182 (1991).
-
(1991)
Nonlinearity
, vol.4
, Issue.4
, pp. 1159-1182
-
-
Fowler, A.C.1
Sparrow, C.T.2
-
22
-
-
0003478288
-
-
New York: Springer
-
Guckenheimer J., Holmes P.: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, 7th edn. Applied Mathematical Sciences, vol. 42. Springer, New York (2002).
-
(2002)
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, 7th Edn. Applied Mathematical Sciences
, vol.42
-
-
Guckenheimer, J.1
Holmes, P.2
-
23
-
-
22244440263
-
Cascades of reversible homoclinic orbits to a saddle-focus equilibrium
-
(Time-reversal symmetry in dynamical systems (Coventry, 1996))
-
Härterich, J.: Cascades of reversible homoclinic orbits to a saddle-focus equilibrium. Physica D 112(1-2), 187-200 (1998) (Time-reversal symmetry in dynamical systems (Coventry, 1996)).
-
(1998)
Physica D
, vol.112
, Issue.1-2
, pp. 187-200
-
-
Härterich, J.1
-
24
-
-
0001708970
-
Homoclinic, heteroclinic, and periodic orbits for a class of indefinite Hamiltonian systems
-
Hofer H., Toland J.: Homoclinic, heteroclinic, and periodic orbits for a class of indefinite Hamiltonian systems. Math. Ann. 268(3), 387-403 (1984).
-
(1984)
Math. Ann.
, vol.268
, Issue.3
, pp. 387-403
-
-
Hofer, H.1
Toland, J.2
-
25
-
-
0041382564
-
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 15, 1029-1050 (2002).
-
(2002)
Nonlinearity
, vol.15
, pp. 1029-1050
-
-
Homburg, A.J.1
-
26
-
-
77956987116
-
Homoclinic and heteroclinic bifurcations in vector fields
-
H. Broer, F. Takens, and B. Hasselblatt (Eds.), Amsterdam: Elsevier
-
Homburg A. J., Sandstede B.: Homoclinic and heteroclinic bifurcations in vector fields. In: Broer, H., Takens, F., Hasselblatt, B. (eds) Handbook of Dynamical Systems III, pp. 379-524. Elsevier, Amsterdam (2010).
-
(2010)
Handbook of Dynamical Systems III
, pp. 379-524
-
-
Homburg, A.J.1
Sandstede, B.2
-
27
-
-
0000759471
-
Sil'nikov bifurcations in generic 4-unfoldings of a codimension-4 singularity
-
Ibáñez S., Rodríguez J. A.: Sil'nikov bifurcations in generic 4-unfoldings of a codimension-4 singularity. J. Differ. Equ. 120(2), 411-428 (1995).
-
(1995)
J. Differ. Equ.
, vol.120
, Issue.2
, pp. 411-428
-
-
Ibáñez, S.1
Rodríguez, J.A.2
-
29
-
-
43949176143
-
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. Differ. Equ. 102(1), 62-88 (1993).
-
(1993)
J. Differ. Equ.
, vol.102
, Issue.1
, pp. 62-88
-
-
Iooss, G.1
Pérouème, M.-C.2
-
30
-
-
19944418492
-
Lin's method for discrete and continuous dynamical systems and applications
-
Ph. D. thesis, TU Ilmenau
-
Knobloch, J.: Lin's method for discrete and continuous dynamical systems and applications. Ph. D. thesis, TU Ilmenau (2004).
-
(2004)
-
-
Knobloch, J.1
-
31
-
-
0000507179
-
Persistent propagation of concentration waves in dissipative media far from thermal equilibrium
-
Kuramoto Y., Tsuzuki T.: Persistent propagation of concentration waves in dissipative media far from thermal equilibrium. Prog. Theor. Phys. 55(2), 356-369 (1976).
-
(1976)
Prog. Theor. Phys.
, vol.55
, Issue.2
, pp. 356-369
-
-
Kuramoto, Y.1
Tsuzuki, T.2
-
32
-
-
0002298644
-
Bifocal homoclinic bifurcations
-
Laing C., Glendinning P.: Bifocal homoclinic bifurcations. Physica D 102(1-2), 1-14 (1997).
-
(1997)
Physica D
, vol.102
, Issue.1-2
, pp. 1-14
-
-
Laing, C.1
Glendinning, P.2
-
34
-
-
0000965877
-
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. Int. J. Bifur. Chaos Appl. Sci. Eng. 2(3), 543-558 (1992).
-
(1992)
Int. J. Bifur. Chaos Appl. Sci. Eng.
, vol.2
, Issue.3
, pp. 543-558
-
-
Lau, Y.-T.1
-
35
-
-
84972438215
-
Using Mel'nikov's method to solve Šilnikov's problems
-
Lin X.-B.: Using Mel'nikov's method to solve Šilnikov's problems. Proc. R. Soc. Edinb. A 116(3-4), 295-325 (1990).
-
(1990)
Proc. R. Soc. Edinb. A
, vol.116
, Issue.3-4
, pp. 295-325
-
-
Lin, X.-B.1
-
37
-
-
0001834849
-
On the stability of the center for time-periodic perturbations
-
Melnikov V. K.: On the stability of the center for time-periodic perturbations. Trans. Mosc. Math. Soc. 12(1), 1-57 (1963).
-
(1963)
Trans. Mosc. Math. Soc.
, vol.12
, Issue.1
, pp. 1-57
-
-
Melnikov, V.K.1
-
38
-
-
25544449558
-
Steady solutions of the Kuramoto-Sivashinsky equation
-
Michelson D.: Steady solutions of the Kuramoto-Sivashinsky equation. Physica D 19(1), 89-111 (1986).
-
(1986)
Physica D
, vol.19
, Issue.1
, pp. 89-111
-
-
Michelson, D.1
-
39
-
-
0242344635
-
Abundance of strange attractors
-
Mora L., Viana M.: Abundance of strange attractors. Acta Math. 171(1), 1-71 (1993).
-
(1993)
Acta Math.
, vol.171
, Issue.1
, pp. 1-71
-
-
Mora, L.1
Viana, M.2
-
40
-
-
79955579216
-
On systems with a saddle-focus homoclinic curve
-
Ovsyannikov I. M., Shil'nikov L. P.: On systems with a saddle-focus homoclinic curve. Math. USSR Sb. 58, 557-574 (1987).
-
(1987)
Math. USSR Sb.
, vol.58
, pp. 557-574
-
-
Ovsyannikov, I.M.1
Shil'nikov, L.P.2
-
41
-
-
79955632290
-
Systems with a homoclinic curve of a multidimensional saddle-focus, and spiral chaos
-
Ovsyannikov I. M., Shil'nikov L. P.: Systems with a homoclinic curve of a multidimensional saddle-focus, and spiral chaos. Math. USSR Sb. 73, 415-443 (1992).
-
(1992)
Math. USSR Sb.
, vol.73
, pp. 415-443
-
-
Ovsyannikov, I.M.1
Shil'nikov, L.P.2
-
43
-
-
48549112859
-
Exponential dichotomies and transversal homoclinic points
-
Palmer K. J.: Exponential dichotomies and transversal homoclinic points. J. Differ. Equ. 55(2), 225-256 (1984).
-
(1984)
J. Differ. Equ.
, vol.55
, Issue.2
, pp. 225-256
-
-
Palmer, K.J.1
-
45
-
-
77951516344
-
Sur le probleme des trois corps et leséquations de la dynamique
-
Poincaré H.: Sur le probleme des trois corps et leséquations de la dynamique. Acta Math. 13, 1-270 (1890).
-
(1890)
Acta Math.
, vol.13
, pp. 1-270
-
-
Poincaré, H.1
-
47
-
-
0035621941
-
Coexistence and persistence of infinitely many strange attractors
-
Pumariño A., Rodríguez J. A.: Coexistence and persistence of infinitely many strange attractors. Ergod. Theory Dyn. Syst. 21(5), 1511-1523 (2001).
-
(2001)
Ergod. Theory Dyn. Syst.
, vol.21
, Issue.5
, pp. 1511-1523
-
-
Pumariño, A.1
Rodríguez, J.A.2
-
48
-
-
0010707512
-
Bifurcation to homoclinic connections of the focus-saddle type
-
Rodríguez J. A.: Bifurcation to homoclinic connections of the focus-saddle type. Arch. Ration. Mech. Anal. 93(1), 81-90 (1986).
-
(1986)
Arch. Ration. Mech. Anal.
, vol.93
, Issue.1
, pp. 81-90
-
-
Rodríguez, J.A.1
-
49
-
-
0003567524
-
-
Ph. D. thesis, Report no. 7, Institut for Angewandte Analysis und Stochastik, Berlin
-
Sandstede, B.: Verzweigungstheorie homokliner verdopplungen. Ph. D. thesis, Report no. 7, Institut for Angewandte Analysis und Stochastik, Berlin (1993).
-
(1993)
Verzweigungstheorie homokliner verdopplungen
-
-
Sandstede, B.1
-
50
-
-
0033190030
-
Solving Index-I DAES in MATLAB and Simulink
-
Shampine L. F., Reichelt M. W., Kierzenka J. A.: Solving Index-I DAES in MATLAB and Simulink. SIAM Rev. 41(3), 538-552 (1999).
-
(1999)
SIAM Rev.
, vol.41
, Issue.3
, pp. 538-552
-
-
Shampine, L.F.1
Reichelt, M.W.2
Kierzenka, J.A.3
-
51
-
-
0001234956
-
A case of the existence of a denumerable set of periodic motions
-
Shil'nikov L. P.: A case of the existence of a denumerable set of periodic motions. Sov. Math. Dokl. 6, 163-166 (1965).
-
(1965)
Sov. Math. Dokl.
, vol.6
, pp. 163-166
-
-
Shil'nikov, L.P.1
-
52
-
-
0002997858
-
Existence of a denumerable set of periodic motions in a four-dimensional space in an extended neighborhood of a saddle-focus
-
Shil'nikov L. P.: Existence of a denumerable set of periodic motions in a four-dimensional space in an extended neighborhood of a saddle-focus. Soviet Math. Dokl. 8(1), 54-58 (1967).
-
(1967)
Soviet Math. Dokl.
, vol.8
, Issue.1
, pp. 54-58
-
-
Shil'nikov, L.P.1
-
53
-
-
84968514104
-
Differentiable dynamical systems
-
Smale S.: Differentiable dynamical systems. Bull. Amer. Math. Soc. 73, 747-817 (1967).
-
(1967)
Bull. Amer. Math. Soc.
, vol.73
, pp. 747-817
-
-
Smale, S.1
-
54
-
-
81155124673
-
-
The MathWorks INC., Matlab R2007a (version 7. 1. 0. 287)
-
The MathWorks INC., Matlab R2007a (version 7. 1. 0. 287).
-
-
-
-
55
-
-
0000615851
-
About some theorems by L. P. Šil'nikov
-
Tresser C.: About some theorems by L. P. Šil'nikov. Ann. Inst. H. Poincaré Phys. Théor. 40(4), 441-461 (1984).
-
(1984)
Ann. Inst. H. Poincaré Phys. Théor.
, vol.40
, Issue.4
, pp. 441-461
-
-
Tresser, C.1
|