-
1
-
-
58249098630
-
-
V.1. Arnol'd: Geometrical Methods in the Theory of Ordinary Differential Equations (2nd ed.), Springer-Verlag (1988).
-
V.1. Arnol'd: Geometrical Methods in the Theory of Ordinary Differential Equations (2nd ed.), Springer-Verlag (1988).
-
-
-
-
2
-
-
44949274027
-
Three coupled oscillators: Mode-locking, global bifurcations and toroidal chaos
-
C. Baesens, J. Guckenheimer, S. Kim, R.S. McKay; Three coupled oscillators: mode-locking, global bifurcations and toroidal chaos, Phys. D 49(3) (1991), 387-475.
-
(1991)
Phys. D
, vol.49
, Issue.3
, pp. 387-475
-
-
Baesens, C.1
Guckenheimer, J.2
Kim, S.3
McKay, R.S.4
-
3
-
-
0003210170
-
Quasi-periodic Motions in Families of Dynamical Systems, Order amidst Chaos
-
H.W. Broer, G.B. Huitema, M.B. Sevryuk: Quasi-periodic Motions in Families of Dynamical Systems, Order amidst Chaos, Springer LNM 1645 (1996).
-
(1996)
Springer LNM
, vol.1645
-
-
Broer, H.W.1
Huitema, G.B.2
Sevryuk, M.B.3
-
4
-
-
0001874618
-
Unfoldings and bifurcations of quasi-periodic tori
-
H.W. Broer, G.B. Huitema, F. Takens, B.L.J. Braaksma: Unfoldings and bifurcations of quasi-periodic tori, Mem. AMS 83(421) (1990), 1-175.
-
(1990)
Mem. AMS
, vol.83
, Issue.421
, pp. 1-175
-
-
Broer, H.W.1
Huitema, G.B.2
Takens, F.3
Braaksma, B.L.J.4
-
5
-
-
0039802126
-
A numerical exploration of the TakensBogdanov bifurcation for diffeomorphisms
-
C. Mira, N. Netzer, C. Simó and G. Targonski, editors, World Scientific, Singapore
-
C. Simó, H.W. Broer, R. Roussarie: A numerical exploration of the TakensBogdanov bifurcation for diffeomorphisms, in European Conference on Iteration Theory (ECIT 89), Batschuns (Austria), C. Mira, N. Netzer, C. Simó and G. Targonski, editors, 320-334, World Scientific, Singapore, 1991.
-
(1991)
European Conference on Iteration Theory (ECIT 89), Batschuns (Austria)
, pp. 320-334
-
-
Simó, C.1
Broer, H.W.2
Roussarie, R.3
-
6
-
-
0030355090
-
Invariant circles in the Bogdanov-Takens bifurcation for diffeomorphisms
-
H.W. Broer, R. Roussarie, C. Simó; Invariant circles in the Bogdanov-Takens bifurcation for diffeomorphisms, Ergod. Th. & Dynam. Sys. 16 (1996), 1147-1172.
-
(1996)
Ergod. Th. & Dynam. Sys
, vol.16
, pp. 1147-1172
-
-
Broer, H.W.1
Roussarie, R.2
Simó, C.3
-
7
-
-
0006963160
-
Towards global models near homoclinic taugendes of dissipative diffeomorphisms
-
H.W. Broer, C. Simó, J.C. Tatjer; Towards global models near homoclinic taugendes of dissipative diffeomorphisms, Nonlinearity, 11(3) (1998), 667-770.
-
(1998)
Nonlinearity
, vol.11
, Issue.3
, pp. 667-770
-
-
Broer, H.W.1
Simó, C.2
Tatjer, J.C.3
-
8
-
-
45049085469
-
The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms; analysis of a resonance 'bubble'
-
H.W. Broer, C. Simó, R. Vitólo; The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms; analysis of a resonance 'bubble', Physica D 237(13) (2008), 1773-1799.
-
(2008)
Physica D
, vol.237
, Issue.13
, pp. 1773-1799
-
-
Broer, H.W.1
Simó, C.2
Vitólo, R.3
-
9
-
-
58249122174
-
The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms: A computer assisted dynamical inventory
-
in preparation
-
H.W. Broer, C. Simó, R. Vitolo: The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms: a computer assisted dynamical inventory, in preparation (2007).
-
(2007)
-
-
Broer, H.W.1
Simó, C.2
Vitolo, R.3
-
10
-
-
53149138221
-
Integrable and non-integrable deformations of the skew Hopf bifurcation
-
H.W. Broer, F. Takens, F.O.O. Wagener: Integrable and non-integrable deformations of the skew Hopf bifurcation, Regular and Chaotic Dynamics 4(2) (1999), 17-43.
-
(1999)
Regular and Chaotic Dynamics
, vol.4
, Issue.2
, pp. 17-43
-
-
Broer, H.W.1
Takens, F.2
Wagener, F.O.O.3
-
11
-
-
51649147118
-
Bifurcations de points fixes elliptiques. I. Courbes invariantes
-
A. Chenciner: Bifurcations de points fixes elliptiques. I. Courbes invariantes, Publ. Math. IHES 61 (1985), 67-127.
-
(1985)
Publ. Math. IHES
, vol.61
, pp. 67-127
-
-
Chenciner, A.1
-
12
-
-
0013369791
-
Bifurcations de points fixes elliptiques. II. Orbites périodiques et ensembles de Cantor invariants
-
A. Chenciner: Bifurcations de points fixes elliptiques. II. Orbites périodiques et ensembles de Cantor invariants, Invent. Math. 80 (1985), 81-106.
-
(1985)
Invent. Math
, vol.80
, pp. 81-106
-
-
Chenciner, A.1
-
13
-
-
51649147531
-
Bifurcations de points fixes elliptiques. III. Orbites périodiques de "petites" périodes et élimination résonnante des couples de courbes invariantes
-
A. Chenciner: Bifurcations de points fixes elliptiques. III. Orbites périodiques de "petites" périodes et élimination résonnante des couples de courbes invariantes, Publ. Math. IHES 66 (1987), 5-91.
-
(1987)
Publ. Math. IHES
, vol.66
, pp. 5-91
-
-
Chenciner, A.1
-
16
-
-
13844255362
-
The fold-flip bifurcation
-
Yu. Kuznetsov, H.G.E. Meijer, and L. van Veen: The fold-flip bifurcation, IJBC 14(7) (2004), 2253-2282.
-
(2004)
IJBC
, vol.14
, Issue.7
, pp. 2253-2282
-
-
Kuznetsov, Y.1
Meijer, H.G.E.2
van Veen, L.3
-
19
-
-
34250451946
-
On the nature of turbulence
-
D. Ruelle, F. Takens: On the nature of turbulence, Comm. Math. Phys. 20 (1971), 167-192.
-
(1971)
Comm. Math. Phys
, vol.20
, pp. 167-192
-
-
Ruelle, D.1
Takens, F.2
-
20
-
-
0000657743
-
On the Hénon-Pomeau attractor
-
C. Simó: On the Hénon-Pomeau attractor, J. of Statistical Physics, 21 (1979), 465-494.
-
(1979)
J. of Statistical Physics
, vol.21
, pp. 465-494
-
-
Simó, C.1
-
21
-
-
58249120725
-
-
C. Simó: Some experiments with planar maps: strange attractor, stable zones and the role of unstable invariant manifolds, in Nonlinear Problems of Analysis in Geometry and Mechanics, M. Atteia, D. Bancel and I. Gumowski, editors, Res. Notes in Math. 46, 176-183, Pitman, 1981.
-
C. Simó: Some experiments with planar maps: strange attractor, stable zones and the role of unstable invariant manifolds, in Nonlinear Problems of Analysis in Geometry and Mechanics, M. Atteia, D. Bancel and I. Gumowski, editors, Res. Notes in Math. 46, 176-183, Pitman, 1981.
-
-
-
-
22
-
-
33747126823
-
Perturbations of translations in the two-dimensional torus: The case near resonance
-
Universidad de Zaragoza
-
C. Simó: Perturbations of translations in the two-dimensional torus: the case near resonance. Actas VI CEDYA, Universidad de Zaragoza, (1984).
-
(1984)
Actas VI CEDYA
-
-
Simó, C.1
-
23
-
-
0007310585
-
Global Dynamics and Fast Indicators
-
H. W. Broer, B. Krauskopf, G. Vegter, editors, IOP Publishing, Bristol
-
C. Simó: Global Dynamics and Fast Indicators, in Global Analysis of Dynamical Systems, H. W. Broer, B. Krauskopf, G. Vegter, editors, 373-390, IOP Publishing, Bristol, 2001.
-
(2001)
Global Analysis of Dynamical Systems
, pp. 373-390
-
-
Simó, C.1
-
25
-
-
58249121838
-
-
reprinted in Global analysis of dynamical systems: Festschrift dedicated to Floris Takens for his 60th birthday (H.W. Broer, B. Krauskopf, and G. Vegter Eds.), IOP Publish., Bristol (2001).
-
reprinted in Global analysis of dynamical systems: Festschrift dedicated to Floris Takens for his 60th birthday (H.W. Broer, B. Krauskopf, and G. Vegter Eds.), IOP Publish., Bristol (2001).
-
-
-
-
26
-
-
0039621597
-
Resonances in skew and reducible quasi-periodic Hopf bifurcations
-
F. Takens, F.O.O. Wagener: Resonances in skew and reducible quasi-periodic Hopf bifurcations, Nonlinearity 13(2) (2000), 377-396.
-
(2000)
Nonlinearity
, vol.13
, Issue.2
, pp. 377-396
-
-
Takens, F.1
Wagener, F.O.O.2
-
28
-
-
0142239172
-
Semi-local analysis of the k:1 and k:2 resonances in quasi-periodically forced systems
-
H.W. Broer, B. Krauskopf, G. Vegter eds, IOP, Bristol and Philadelphia
-
F.O.O. Wagener: Semi-local analysis of the k:1 and k:2 resonances in quasi-periodically forced systems, in Global analysis of dynamical systems. Festschrift dedicated to Floris Takens for his 60th birthday (H.W. Broer, B. Krauskopf, G. Vegter eds.), IOP, Bristol and Philadelphia (2001), 113-129
-
(2001)
Global analysis of dynamical systems. Festschrift dedicated to Floris Takens for his 60th birthday
, pp. 113-129
-
-
Wagener, F.O.O.1
-
29
-
-
0039033524
-
On the skew Hopf bifurcation
-
PhD Thesis, University of Groningen 1998
-
F.O.O. Wagener: On the skew Hopf bifurcation, PhD Thesis, University of Groningen (1998).
-
-
-
Wagener, F.O.O.1
|