-
1
-
-
0242275980
-
Resonance Tongues and Instability Pockets in the Quasi-periodic Hill-Schrödinger Equation
-
Broer, H. W., Puig, J., and Simó, C., Resonance Tongues and Instability Pockets in the Quasi-periodic Hill-Schrödinger Equation. Comm. Math. l Phys., 2003, vol. 241, pp. 467-503.
-
(2003)
Comm. Math.L Phys.
, vol.241
, pp. 467-503
-
-
Broer, H.W.1
Puig, J.2
Simó, C.3
-
2
-
-
27144516452
-
Hill's Equation with Quasi-periodic Forcing: Resonance Tongues, Instability Pockets and Global Phenomena
-
Broer, H. W and Simó, C., Hill's Equation with Quasi-periodic Forcing: Resonance Tongues, Instability Pockets and Global Phenomena, Boletim Sociedade Brasileira Matemática, 1998, vol. 29, pp. 253-293.
-
(1998)
Boletim Sociedade Brasileira Matemática
, vol.29
, pp. 253-293
-
-
Broer, H.W.1
Simó, C.2
-
3
-
-
79952018300
-
-
in preparation
-
Broer, H. W., Hanßmann, and Wagener, F. O. O., Quasi-Periodic Bifurcation Theory, the Geometry of kam, in preparation.
-
Quasi-Periodic Bifurcation Theory, the Geometry of kam
-
-
Broer, H.W.1
Hanßmann2
Wagener, F.O.O.3
-
4
-
-
53149138221
-
Integrable and Non-Integrable Deformations of the Skew Hopf Bifurcation
-
Broer, H. W., Takens, F., and Wagener, F. O. O., Integrable and Non-Integrable Deformations of the Skew Hopf Bifurcation, Regul. Chaotic Dyn., 1999, vol. 4, no. 2, pp. 16-43.
-
(1999)
Regul. Chaotic Dyn.
, vol.4
, Issue.2
, pp. 16-43
-
-
Broer, H.W.1
Takens, F.2
Wagener, F.O.O.3
-
5
-
-
0034409608
-
Quasi-Periodic Stability of Subfamilies of an Unfolded Skew Hopf Bifurcation
-
Broer, H. W. and Wagener, F. O. O., Quasi-Periodic Stability of Subfamilies of an Unfolded Skew Hopf Bifurcation, Arch. Ration. Mech. Anal., 2000, vol. 152, pp. 283-326.
-
(2000)
Arch. Ration. Mech. Anal.
, vol.152
, pp. 283-326
-
-
Broer, H.W.1
Wagener, F.O.O.2
-
6
-
-
33646657443
-
A Survey on Bifurcations of Invariant Tori
-
J. Delgado (Ed.), New York: Kluwer/Plenum
-
Hanßmann, H., A Survey on Bifurcations of Invariant Tori, New Advances in Celestial Mechanics and Hamiltonian systems (Guanajuato, 2001), J. Delgado et al. (Eds.), New York: Kluwer/Plenum, 2004, pp. 109-121.
-
(2004)
New Advances in Celestial Mechanics and Hamiltonian Systems (Guanajuato, 2001)
, pp. 109-121
-
-
Hanßmann, H.1
-
8
-
-
0039621597
-
Resonances in Skew and Reducible Quasi-Periodic Hopf Bifurcations
-
Takens, F. and Wagener, F. O. O., Resonances in Skew and Reducible Quasi-Periodic Hopf Bifurcations, Nonlinearity, 2000, vol. 13, no. 2, pp. 377-396.
-
(2000)
Nonlinearity
, vol.13
, Issue.2
, pp. 377-396
-
-
Takens, F.1
Wagener, F.O.O.2
-
9
-
-
67650718095
-
Normal Forms in Perturbation Theory
-
R. Meyers (Ed.), New York: Springer
-
Broer, H. W., Normal Forms in Perturbation Theory, Encyclopœia of Complexity & System Science, R. Meyers (Ed.) New York: Springer, 2009, pp. 6310-6329.
-
(2009)
Encyclopœia of Complexity & System Science
, pp. 6310-6329
-
-
Broer, H.W.1
-
10
-
-
0001811172
-
Towards a Quasi-Periodic Bifurcation Theory
-
Braaksma, B. L. J., Broer, H. W., and Huitema, G. B., Towards a Quasi-Periodic Bifurcation Theory, Mem. Amer. Math. Soc., 1990, vol. 83, no. 421, pp. 83-175.
-
(1990)
Mem. Amer. Math. Soc.
, vol.83
, Issue.421
, pp. 83-175
-
-
Braaksma, B.L.J.1
Broer, H.W.2
Huitema, G.B.3
-
11
-
-
33750612100
-
Normal Linear Stability of Quasi-Periodic Tori
-
Broer, H. W., Hoo, J., and Naudot, V., Normal Linear Stability of Quasi-Periodic Tori, J. Differential Equations, 2007, vol. 232, no. 2, pp. 355-418.
-
(2007)
J. Differential Equations
, vol.232
, Issue.2
, pp. 355-418
-
-
Broer, H.W.1
Hoo, J.2
Naudot, V.3
-
12
-
-
0001874618
-
Unfoldings of Quasi-Periodic Tori
-
Broer, H. W., Huitema, G. B., and Takens, F., Unfoldings of Quasi-Periodic Tori, Mem. Amer. Math. Soc., 1990, vol. 83, no. 421, pp. 1-82.
-
(1990)
Mem. Amer. Math. Soc.
, vol.83
, Issue.421
, pp. 1-82
-
-
Broer, H.W.1
Huitema, G.B.2
Takens, F.3
-
13
-
-
51649164983
-
Bifurcations and Stability of Families of Diffeomorphisms
-
Newhouse, S. E., Palis, J., and Takens, F., Bifurcations and Stability of Families of Diffeomorphisms, Inst. Hautes Études Sci. Publ. Math., 1983, vol. 57, pp. 5-71.
-
(1983)
Inst. Hautes Études Sci. Publ. Math.
, vol.57
, pp. 5-71
-
-
Newhouse, S.E.1
Palis, J.2
Takens, F.3
-
14
-
-
0003706768
-
-
Lecture Notes in Math, Berlin-New York: Springer
-
Hirsch, M. W., Pugh, C. C., and Shub, M., Invariant Manifolds, Lecture Notes in Math., vol. 583, Berlin-New York: Springer, 1977.
-
(1977)
Invariant Manifolds
, vol.583
-
-
Hirsch, M.W.1
Pugh, C.C.2
Shub, M.3
-
15
-
-
84945434307
-
On a Quasi-Periodic Hopf Bifurcation
-
Braaksma, B. L. J. and Broer, H. W., On a Quasi-Periodic Hopf Bifurcation, Ann. Inst. H. Poincaré Anal. Non Linéaire, 1987, vol. 4, no. 2, pp. 115-168.
-
(1987)
Ann. Inst. H.Poincaré Anal. Non Linéaire
, vol.4
, Issue.2
, pp. 115-168
-
-
Braaksma, B.L.J.1
Broer, H.W.2
-
17
-
-
24144464514
-
On the Quasi-Periodic d-fold Degenerate Bifurcation
-
Wagener, F. O. O., On the Quasi-Periodic d-fold Degenerate Bifurcation, J. Differential Equations, 2005, vol. 216, no. 2, pp. 261-281.
-
(2005)
J. Differential Equations
, vol.216
, Issue.2
, pp. 261-281
-
-
Wagener, F.O.O.1
-
18
-
-
79952018443
-
A Parametrised Version of Moser's Modifying Terms Theorem
-
Wagener, F. O. O., A Parametrised Version of Moser's Modifying Terms Theorem, Discrete Contin. Dyn. Syst. Ser. S, 2010, vol. 3, no. 4, pp. 719-768.
-
(2010)
Discrete Contin. Dyn. Syst. Ser. S
, vol.3
, Issue.4
, pp. 719-768
-
-
Wagener, F.O.O.1
-
19
-
-
51649147118
-
Bifurcations de points fixes elliptiques: I. Courbes invariantes
-
Chenciner, A., Bifurcations de points fixes elliptiques: I. Courbes invariantes, Inst. Hautes Études Sci. Publ. Math., 1985, vol. 61, pp. 67-127.
-
(1985)
Inst. Hautes Études Sci. Publ. Math.
, vol.61
, pp. 67-127
-
-
Chenciner, A.1
-
20
-
-
0013369791
-
Bifurcations de points fixes elliptiques: II. Orbites périodiques et ensembles de Cantor invariants
-
Chenciner, A., Bifurcations de points fixes elliptiques: II. Orbites périodiques et ensembles de Cantor invariants, Invent. Math., 1985, vol. 80, no. 1, pp. 81-106.
-
(1985)
Invent. Math.
, vol.80
, Issue.1
, pp. 81-106
-
-
Chenciner, A.1
-
21
-
-
51649147531
-
Bifurcations de points fixes elliptiques: III. Orbites périodiques de "petites" périodes et élimination résonante des couples de courbes invariantes
-
Chenciner, A., Bifurcations de points fixes elliptiques: III. Orbites périodiques de "petites" périodes et élimination résonante des couples de courbes invariantes, Inst. Hautes Études Sci. Publ. Math., 1987, vol. 66, pp. 5-91.
-
(1987)
Inst. Hautes Études Sci. Publ. Math.
, vol.66
, pp. 5-91
-
-
Chenciner, A.1
-
22
-
-
0010138127
-
The Quasi-Periodic Centre-Saddle Bifurcation
-
Hanßmann, H., The Quasi-Periodic Centre-Saddle Bifurcation, J. Differential Equations, 1998, vol. 142, pp. 305-370.
-
(1998)
J. Differential Equations
, vol.142
, pp. 305-370
-
-
Hanßmann, H.1
-
23
-
-
21244442290
-
Bifurcations of Normally Parabolic Tori in Hamiltonian Systems
-
Broer, H. W., Hanßmann, H., and You, J., Bifurcations of Normally Parabolic Tori in Hamiltonian Systems, Nonlinearity, 2005, vol. 18, no. 4, pp. 1735-1769.
-
(2005)
Nonlinearity
, vol.18
, Issue.4
, pp. 1735-1769
-
-
Broer, H.W.1
Hanßmann, H.2
You, J.3
-
24
-
-
32044436274
-
Umbilical Torus Bifurcations in Hamiltonian Systems
-
Broer, H. W., Hanßmann, H., and You, J., Umbilical Torus Bifurcations in Hamiltonian Systems, J. Differential Equations, 2006, vol. 222, no. 1, pp. 233-262.
-
(2006)
J. Differential Equations
, vol.222
, Issue.1
, pp. 233-262
-
-
Broer, H.W.1
Hanßmann, H.2
You, J.3
-
25
-
-
79952027461
-
-
Preprint, Mathematisch Instituut, Universiteit Utrecht, Utrecht
-
Broer, H. W., Hanßmann, H., and You, J., On the Destruction of Resonant Lagrangean Tori in Hamiltonian Systems, Preprint, Mathematisch Instituut, Universiteit Utrecht, Utrecht, 2008.
-
(2008)
On the Destruction of Resonant Lagrangean Tori in Hamiltonian Systems
-
-
Broer, H.W.1
Hanßmann, H.2
You, J.3
-
26
-
-
79959197178
-
-
Appl. Math. Sci, New York: Springer
-
Broer, H. W. and Takens, F., Dynamical Systems and Chaos, Appl. Math. Sci., vol. 172, New York: Springer, 2011.
-
(2011)
Dynamical Systems and Chaos
, vol.172
-
-
Broer, H.W.1
Takens, F.2
-
27
-
-
33646002283
-
Survey on Dissipative kam Theory Including Quasi-Periodic Bifurcation Theory: Based on Lectures by Henk Broer
-
London Math. Soc. Lecture Note Ser, J. Montaldi and T. Ratiu (Eds.), Cambridge: Cambridge Univ. Press
-
Ciocci, M. C., Litvak-Hinenzon, A., and Broer, H. W., Survey on Dissipative kam Theory Including Quasi-Periodic Bifurcation Theory: Based on Lectures by Henk Broer, Geometric Mechanics and Symmetry: The Peyresq Lectures, J. Montaldi and T. Ratiu (Eds.), London Math. Soc. Lecture Note Ser., vol. 306, Cambridge: Cambridge Univ. Press, 2005, pp. 303-355.
-
(2005)
Geometric Mechanics and Symmetry: The Peyresq Lectures
, vol.306
, pp. 303-355
-
-
Ciocci, M.C.1
Litvak-Hinenzon, A.2
Broer, H.W.3
-
28
-
-
21344488160
-
Mixed Spectrum and Rotational Symmetry
-
Broer, H. W. and Takens, F., Mixed Spectrum and Rotational Symmetry, Arch. Ration. Mech. Anal., 1993, vol. 124, pp. 13-42.
-
(1993)
Arch. Ration. Mech. Anal.
, vol.124
, pp. 13-42
-
-
Broer, H.W.1
Takens, F.2
-
30
-
-
34748899387
-
The Quasi-Periodic Reversible Hopf Bifurcation
-
Broer, H. W., Ciocci, M. C., and Hanßann, H., The Quasi-Periodic Reversible Hopf Bifurcation, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 2007, vol. 17, no. 8, pp. 2605-2623.
-
(2007)
Internat. J. Bifur. Chaos Appl. Sci. Engrg.
, vol.17
, Issue.8
, pp. 2605-2623
-
-
Broer, H.W.1
Ciocci, M.C.2
Hanßann, H.3
-
31
-
-
58149498523
-
Quasi-Periodic Stability of Normally Resonant Tori
-
Broer, H. W., Ciocci, M. C., Hanßann, H., and Vanderbauwhede, A., Quasi-Periodic Stability of Normally Resonant Tori, Phys. D, 2009, vol. 238, no. 3, pp. 309-318.
-
(2009)
Phys. D
, vol.238
, Issue.3
, pp. 309-318
-
-
Broer, H.W.1
Ciocci, M.C.2
Hanßann, H.3
Vanderbauwhede, A.4
-
32
-
-
33947682204
-
The Quasi-Periodic Hamiltonian Hopf Bifurcation
-
Broer, H. W., Hanßann, H., and Hoo, J., The Quasi-Periodic Hamiltonian Hopf Bifurcation, Nonlinearity, 2007, vol. 20, no. 2, pp. 417-460.
-
(2007)
Nonlinearity
, vol.20
, Issue.2
, pp. 417-460
-
-
Broer, H.W.1
Hanßann, H.2
Hoo, J.3
-
34
-
-
0006963160
-
Towards Global Models Near Homoclinic Tangencies of Dissipative Diffeomorphisms
-
Broer, H. W., Simó, C., Tatjer, J. C., Towards Global Models Near Homoclinic Tangencies of Dissipative Diffeomorphisms, Nonlinearity, 1998, vol. 11, no. 3, pp. 667-770.
-
(1998)
Nonlinearity
, vol.11
, Issue.3
, pp. 667-770
-
-
Broer, H.W.1
Simó, C.2
Tatjer, J.C.3
-
35
-
-
0142137606
-
Normal-Internal Resonances in Quasi-Periodically Forced Oscillators: A Conservative Approach
-
Broer, H. W., Hanßann, H., Jorba, À., Villanueva, J., and Wagener, F. O. O., Normal-Internal Resonances in Quasi-Periodically Forced Oscillators: A Conservative Approach, Nonlinearity, 2003, vol. 16, no. 5, pp. 1751-1791.
-
(2003)
Nonlinearity
, vol.16
, Issue.5
, pp. 1751-1791
-
-
Broer, H.W.1
Hanßann, H.2
Jorba3
Villanueva, J.4
Wagener, F.O.O.5
-
36
-
-
79952024665
-
Dynamics and Geometry Near Resonant Bifurcations
-
Broer, H. W., Holtman, S. J., Vegter, G., and Vitolo, R., Dynamics and Geometry Near Resonant Bifurcations, Regul. Chaotic Dyn., 2011, vol. 16, nos. 1-2, pp. 39-50.
-
(2011)
Regul. Chaotic Dyn.
, vol.16
, Issue.1-2
, pp. 39-50
-
-
Broer, H.W.1
Holtman, S.J.2
Vegter, G.3
Vitolo, R.4
-
37
-
-
44949236072
-
Generic Hopf-Neǐmark-Sacker Bifurcations in Feed Forward Systems
-
Broer, H. W. and Vegter, G., Generic Hopf-Neǐmark-Sacker Bifurcations in Feed Forward Systems, Nonlinearity, 2008, vol. 21, pp. 1547-1578.
-
(2008)
Nonlinearity
, vol.21
, pp. 1547-1578
-
-
Broer, H.W.1
Vegter, G.2
-
39
-
-
0040845842
-
On the Vertical Families of Two-Dimensional Tori Near the Triangular Points of the Bicircular Problem
-
Castellà, E. and Jorba, À., On the Vertical Families of Two-Dimensional Tori Near the Triangular Points of the Bicircular Problem, Celestial Mech. Dynam. Astronom., 2000, vol. 76, no. 1, pp. 35-54.
-
(2000)
Celestial Mech. Dynam. Astronom.
, vol.76
, Issue.1
, pp. 35-54
-
-
Castellà, E.1
Jorba2
-
40
-
-
0040483472
-
Numerical Computation of the Normal Behaviour of Invariant Curves of n-Dimensional Maps
-
Jorba, À., Numerical Computation of the Normal Behaviour of Invariant Curves of n-Dimensional Maps, Nonlinearity, 2001 vol. 14, no. 5, pp. 943-976.
-
(2001)
Nonlinearity
, vol.14
, Issue.5
, pp. 943-976
-
-
Jorba1
-
41
-
-
77957816363
-
A Collocation Method for the Numerical Fourier Analysis of Quasi-Periodic Functions: I.Numerical Tests and Examples
-
Gómez, G., Mondelo, J.-M., and Simó, C., A Collocation Method for the Numerical Fourier Analysis of Quasi-Periodic Functions: I. Numerical Tests and Examples, Discrete Contin. Dyn. Syst. Ser. B, 2010, vol. 14, no. 1, pp. 41-74.
-
(2010)
Discrete Contin. Dyn. Syst. Ser. B
, vol.14
, Issue.1
, pp. 41-74
-
-
Gómez, G.1
Mondelo, J.-M.2
Simó, C.3
-
42
-
-
77957761095
-
A Collocation Method for the Numerical Fourier Analysis of Quasi-Periodic Functions: II.Analytical Error Estimates
-
Gómez, G., Mondelo, J.-M., and Simó, C., A Collocation Method for the Numerical Fourier Analysis of Quasi-Periodic Functions: II. Analytical Error Estimates, Discrete Contin. Dyn. Syst. Ser. B, 2010, vol. 14, no. 1, pp. 75-109.
-
(2010)
Discrete Contin. Dyn. Syst. Ser. B
, vol.14
, Issue.1
, pp. 75-109
-
-
Gómez, G.1
Mondelo, J.-M.2
Simó, C.3
-
44
-
-
33746548476
-
A Parameterization Method for the Computation of Invariant Tori and Their Whiskers in Quasi-Periodic Maps: Rigorous Results
-
Haro, À. and de la Llave, R., A Parameterization Method for the Computation of Invariant Tori and Their Whiskers in Quasi-Periodic Maps: Rigorous Results, J. Differential Equations, 2006, vol. 228, no. 2, pp. 530-579.
-
(2006)
J. Differential Equations
, vol.228
, Issue.2
, pp. 530-579
-
-
Haro1
de la Llave, R.2
-
45
-
-
33750532700
-
A Parameterization Method for the Computation of Invariant Tori and Their Whiskers in Quasi-Periodic Maps: Numerical Algorithms
-
Haro, À. and de la Llave, R., A Parameterization Method for the Computation of Invariant Tori and Their Whiskers in Quasi-Periodic Maps: Numerical Algorithms, Discrete Contin. Dyn. Syst. Ser. B, 2006, vol. 6, no. 6, pp. 1261-1300.
-
(2006)
Discrete Contin. Dyn. Syst. Ser. B
, vol.6
, Issue.6
, pp. 1261-1300
-
-
Haro1
de la Llave, R.2
-
46
-
-
45049087511
-
A ParameterizationMethod for the Computation of Invariant Tori and Their Whiskers in Quasi-Periodic Maps: Explorations and Mechanisms for the Breakdown of Hyperbolicity
-
Haro, À. and de la Llave, R., A ParameterizationMethod for the Computation of Invariant Tori and Their Whiskers in Quasi-Periodic Maps: Explorations and Mechanisms for the Breakdown of Hyperbolicity, SIAM J. Appl. Dyn. Syst., 2007, vol. 6, no. 1, pp. 142-207.
-
(2007)
SIAM J. Appl. Dyn. Syst.
, vol.6
, Issue.1
, pp. 142-207
-
-
Haro1
de la Llave, R.2
-
47
-
-
33644886647
-
Continuation of Quasi-Periodic Invariant Tori
-
Schilder, F., Osinga, H. M., and Vogt, W., Continuation of Quasi-Periodic Invariant Tori, SIAM J. Appl. Dyn. Syst., 2005, vol. 4, no. 3, pp. 459-488.
-
(2005)
SIAM J. Appl. Dyn. Syst.
, vol.4
, Issue.3
, pp. 459-488
-
-
Schilder, F.1
Osinga, H.M.2
Vogt, W.3
-
48
-
-
33750510588
-
Effective Computations in Hamiltonian Dynamics
-
SMF Journ. Annu, A. Chenciner, C. Simó (Eds.), Paris: Soc. Math. France
-
Simó, C., Effective Computations in Hamiltonian Dynamics, Mécanique celeste, A. Chenciner and C. Simó (Eds.), SMF Journ. Annu., vol. 1996, Paris: Soc. Math. France, 1996.
-
(1996)
Mécanique Celeste
, vol.1996
-
-
Simó, C.1
-
49
-
-
0009318412
-
Effective Computations in Celestial Mechanics and Astrodynamics
-
CISM Courses and Lectures, V. V. Rumyantsev and A. V. Karapetyan (Eds.), Vienna: Springer
-
C. Simó, Effective Computations in Celestial Mechanics and Astrodynamics. In Modern Methods of Analytical Mechanics and their Applications (Udine, 1997), V. V. Rumyantsev and A. V. Karapetyan (Eds.), CISM Courses and Lectures, vol. 387, Vienna: Springer, 1998, pp. 55-102. Available also at http://www. maia. ub. es/dsg/1997/.
-
(1998)
Modern Methods of Analytical Mechanics and Their Applications (Udine, 1997)
, vol.387
, pp. 55-102
-
-
Simó, C.1
-
50
-
-
71649115988
-
-
Sánchez, J., Net, M., and Simó, C., Computation of Invariant Tori by Newton-Krylov Methods in Large-Scale Dissipative Systems, Phys. D, 2010, vol. 239, pp. 123-133.
-
(2010)
Computation of Invariant Tori by Newton-Krylov Methods in Large-Scale Dissipative Systems
, vol.239
, pp. 123-133
-
-
Sánchez, J.1
Net, M.2
Simó, C.3
-
51
-
-
0042384678
-
Bifurcations and Strange Attractors in the Lorenz-84 Climate Model with Seasonal Forcing
-
Broer, H. W., Simó, C., and Vitolo, R., Bifurcations and Strange Attractors in the Lorenz-84 Climate Model with Seasonal Forcing, Nonlinearity, 2002, vol. 15, no. 4, pp. 1205-1267.
-
(2002)
Nonlinearity
, vol.15
, Issue.4
, pp. 1205-1267
-
-
Broer, H.W.1
Simó, C.2
Vitolo, R.3
-
52
-
-
78149354879
-
Routes to Chaos in the Hopf-Saddle-Node Bifurcation for Fixed Points of 3D-diffeomorphisms
-
Vitolo, R., Broer, H. W., and Simó, C., Routes to Chaos in the Hopf-Saddle-Node Bifurcation for Fixed Points of 3D-diffeomorphisms, Nonlinearity, 2010, vol. 23, no. 8, pp. 1919-1947.
-
(2010)
Nonlinearity
, vol.23
, Issue.8
, pp. 1919-1947
-
-
Vitolo, R.1
Broer, H.W.2
Simó, C.3
-
53
-
-
45049085469
-
The Hopf-Saddle-Node Bifurcation for Fixed Points of 3D diffeomorphisms: Analysis of a resonance "bubble"
-
Broer, H. W., Simó, C., and Vitolo, R., The Hopf-Saddle-Node Bifurcation for Fixed Points of 3D diffeomorphisms: Analysis of a resonance "bubble", Phys. D, 2008, vol. 237, no. 13, pp. 1773-1799.
-
(2008)
Phys. D
, vol.237
, Issue.13
, pp. 1773-1799
-
-
Broer, H.W.1
Simó, C.2
Vitolo, R.3
-
54
-
-
56349155062
-
The Hopf-Saddle-Node Bifurcation for Fixed Points of 3Ddiffeomorphisms: The Arnol'd Resonance Web
-
Broer, H. W., Simó, C., and Vitolo, R., The Hopf-Saddle-Node Bifurcation for Fixed Points of 3Ddiffeomorphisms: The Arnol'd Resonance Web, Bull. Belg. Math. Soc. Simon Stevin, 2008, vol. 15, no. 5, pp. 769-787.
-
(2008)
Bull. Belg. Math. Soc. Simon Stevin
, vol.15
, Issue.5
, pp. 769-787
-
-
Broer, H.W.1
Simó, C.2
Vitolo, R.3
-
55
-
-
73149109691
-
A Mechanism for the Fractalization of Invariant Curves in Quasi-Periodically Forced 1 - D maps
-
Jorba, À. and Tatjer, J. C., A Mechanism for the Fractalization of Invariant Curves in Quasi-Periodically Forced 1 - D maps, Discrete Contin. Dyn. Syst. Ser. B, 2008, vol. 10, nos. 2-3, pp. 537-567.
-
(2008)
Discrete Contin. Dyn. Syst. Ser. B
, vol.10
, Issue.2-3
, pp. 537-567
-
-
Jorba1
Tatjer, J.C.2
-
56
-
-
0347550175
-
Quasi-Genericity of Bifurcations to High-Dimensional Invariant Tori for Maps
-
Iooss, G. and Los, J. E., Quasi-Genericity of Bifurcations to High-Dimensional Invariant Tori for Maps, Comm. Math. Phys., 1988, vol. 119, no. 3, pp. 453-500.
-
(1988)
Comm. Math. Phys.
, vol.119
, Issue.3
, pp. 453-500
-
-
Iooss, G.1
Los, J.E.2
-
57
-
-
0007142221
-
Bifurcations de tores invariants
-
Chenciner, A. and Iooss, G., Bifurcations de tores invariants, Arch. Ration. Mech. Anal., 1979, vol. 69, no. 2, pp. 109-198.
-
(1979)
Arch. Ration. Mech. Anal.
, vol.69
, Issue.2
, pp. 109-198
-
-
Chenciner, A.1
Iooss, G.2
-
58
-
-
77957172363
-
Dédoublement de courbes invariantes sur le cylindre: Petit diviseurs
-
Los, J., Dédoublement de courbes invariantes sur le cylindre: Petit diviseurs, Ann. Inst. H. Poincaré Anal. Non Linéaire, 1988, vol. 5, pp. 37-95.
-
(1988)
Ann. Inst. H.Poincaré Anal. Non Linéaire
, vol.5
, pp. 37-95
-
-
Los, J.1
-
59
-
-
0003053628
-
On the Analytical and Numerical Computation of Invariant Manifolds
-
D. Benest, C. Froeschlé (Eds.), Paris: Frontières
-
Simó, C., On the Analytical and Numerical Computation of Invariant Manifolds, Modern Methods in Celestial Mechanics, D. Benest and C. Froeschlé (Eds.), Paris: Frontières, 1990, pp. 285-330. Available also at http://www. maia. ub. es/dsg/2004/.
-
(1990)
Modern Methods in Celestial Mechanics
, pp. 285-330
-
-
Simó, C.1
-
61
-
-
0003478288
-
-
Appl. Math. Sci, New York: Springer
-
Guckenheimer, J. and Holmes, Ph., Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Appl. Math. Sci., vol. 42, New York: Springer, 1983.
-
(1983)
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
, vol.42
-
-
Guckenheimer, J.1
Holmes, P.2
-
62
-
-
0347550173
-
3 and Doubling Bifurcation
-
3 and Doubling Bifurcation, Nonlinearity, 1989, vol. 2, no. 1, pp. 149-174.
-
(1989)
Nonlinearity
, vol.2
, Issue.1
, pp. 149-174
-
-
Los, J.1
-
63
-
-
25144520508
-
The Quasi-Periodic Doubling Cascade in the Transition to Weak Turbulence
-
van Veen, L., The Quasi-Periodic Doubling Cascade in the Transition to Weak Turbulence, Phys. D, 2005, vol. 210, nos. 3-4, pp. 249-261.
-
(2005)
Phys. D
, vol.210
, Issue.3-4
, pp. 249-261
-
-
van Veen, L.1
-
64
-
-
79952036293
-
Resonance Tongues and Spectral Gaps in Quasi-Periodic Schrödinger Operators with One or More Frequencies: A Numerical Exploration
-
(to appear)
-
Puig, J. and Simó, C., Resonance Tongues and Spectral Gaps in Quasi-Periodic Schrödinger Operators with One or More Frequencies: A Numerical Exploration, J. Dynam. Differential Equations, 2011 (to appear).
-
(2011)
J. Dynam. Differential Equations
-
-
Puig, J.1
Simó, C.2
-
65
-
-
79952026919
-
Resonance Tongues in the Quasi-Periodic Hill-Schrödinger Equation with Three Frequencies
-
Puig, J. and Simó, C., Resonance Tongues in the Quasi-Periodic Hill-Schrödinger Equation with Three Frequencies, Regul. Chaotic Dyn., 2011, vol. 16, nos. 1-2, pp. 61-78.
-
(2011)
Regul. Chaotic Dyn.
, vol.16
, Issue.1-2
, pp. 61-78
-
-
Puig, J.1
Simó, C.2
-
66
-
-
44949274027
-
Three Coupled Oscillators: Mode-locking, Global Bifurcations and Toroidal Chaos
-
Baesens, C., Guckenheimer, J., Kim, S., and MacKay, R. S., Three Coupled Oscillators: Mode-locking, Global Bifurcations and Toroidal Chaos, Phys. D, 1991, vol. 49, no. 3, pp. 387-475.
-
(1991)
Phys. D
, vol.49
, Issue.3
, pp. 387-475
-
-
Baesens, C.1
Guckenheimer, J.2
Kim, S.3
Mackay, R.S.4
-
67
-
-
33747126823
-
Perturbations of Translations in the Two-Dimensional Torus: The Case near Resonance
-
(Universidad de Zaragoza, Jaca, Spain, 1983), Zaragoza
-
Simó, C., Perturbations of Translations in the Two-Dimensional Torus: The Case near Resonance, Proceedings VI CEDYA (Universidad de Zaragoza, Jaca, Spain, 1983), Zaragoza, 1984.
-
(1984)
Proceedings VI CEDYA
-
-
Simó, C.1
-
68
-
-
78149327844
-
Survey of Strong Normal-Internal k: L Resonances in Quasi-Periodically Driven Oscillators for l = 1, 2, 3
-
G. Gaeta, R. Vitolo, and S. Walcher (Eds.), Hackensack, NJ: World Sci. Publ
-
Broer, H. W., van Dijk, R., and Vitolo, R., Survey of Strong Normal-Internal k: l Resonances in Quasi-Periodically Driven Oscillators for l = 1, 2, 3, Proceedings SPT 2007, Internat. Conf. on Symmetry and Perturbation Theory (Otranto (Italy), 2-9 June 2007), G. Gaeta, R. Vitolo, S. Walcher (Eds.), Hackensack, NJ: World Sci. Publ., 2008, pp. 45-55.
-
(2008)
Proceedings SPT 2007, Internat. Conf. On Symmetry and Perturbation Theory (Otranto (Italy), 2-9 June 2007)
, pp. 45-55
-
-
Broer, H.W.1
van Dijk, R.2
Vitolo, R.3
-
69
-
-
0142239172
-
Semi-Local Analysis of the k: 1 and k: 2 Resonances in Quasi-Periodically Forced Systems
-
H. W. Broer, B. Krauskopf, and G. Vegter (Eds.), Bristol: Inst. Phys
-
Wagener, F. O. O., Semi-Local Analysis of the k: 1 and k: 2 Resonances in Quasi-Periodically Forced Systems, Global Analysis of Dynamical Systems: Festschrift Dedicated to Floris Takens for His 60th Birthday, H. W. Broer, B. Krauskopf, G. Vegter (Eds.), Bristol: Inst. Phys., 2001, pp. 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
-
70
-
-
14844309663
-
KAM theory without Action-Angle Variables
-
de la Llave, R., González, A., Jorba, À., and Villanueva, J., KAM theory without Action-Angle Variables, Nonlinearity, 2005, vol. 18, no. 2, pp. 855-895.
-
(2005)
Nonlinearity
, vol.18
, Issue.2
, pp. 855-895
-
-
de la Llave, R.1
González, A.2
Jorba3
Villanueva, J.4
-
71
-
-
34548493255
-
Parametric Smoothness and Self-Scaling of the Statistical Properties of a Minimal Climate Model: What beyond the Mean Field Theories?
-
Lucarini, V., Speranza, A., and Vitolo, R., Parametric Smoothness and Self-Scaling of the Statistical Properties of a Minimal Climate Model: What beyond the Mean Field Theories? Phys. D, 2007, vol. 234, no. 2, pp. 105-123.
-
(2007)
Phys. D
, vol.234
, Issue.2
, pp. 105-123
-
-
Lucarini, V.1
Speranza, A.2
Vitolo, R.3
-
72
-
-
33747060717
-
Direct Numerical Simulations of Bifurcations in an Air-Filled Rotating Baroclinic Annulus
-
Randriamampianina, A., Früh, W.-G., Maubert, P., and Read, P. L., Direct Numerical Simulations of Bifurcations in an Air-Filled Rotating Baroclinic Annulus J. Fluid Mech., 2006, vol. 561, pp. 359-389.
-
(2006)
J. Fluid Mech.
, vol.561
, pp. 359-389
-
-
Randriamampianina, A.1
Früh, W.-G.2
Maubert, P.3
Read, P.L.4
-
73
-
-
48149094941
-
Flow Transitions Resembling Bifurcations of the Logistic Map in Simulations of the Baroclinic Rotating Annulus
-
Young, R. M. B. and Read, P. L., Flow Transitions Resembling Bifurcations of the Logistic Map in Simulations of the Baroclinic Rotating Annulus, Phys. D, 2008, vol. 237, no. 18, pp. 2251-2262.
-
(2008)
Phys. D
, vol.237
, Issue.18
, pp. 2251-2262
-
-
Young, R.M.B.1
Read, P.L.2
-
74
-
-
70350738968
-
On the Computation of Reducible Invariant Tori on a Parallel Computer
-
Jorba, À. and Olmedo, E., On the Computation of Reducible Invariant Tori on a Parallel Computer, SIAM J. Appl. Dyn. Syst., 2009, vol. 8, no. 4, pp. 1382-1404.
-
(2009)
SIAM J. Appl. Dyn. Syst.
, vol.8
, Issue.4
, pp. 1382-1404
-
-
Jorba1
Olmedo, E.2
-
75
-
-
0002761467
-
Formal Normal Forms Theorems for Vector Fields and Some Consequences for Bifurcations in the Volume Preserving Case
-
Lecture Notes in Math, A. Dold and B. Eckmann (Eds.), Berlin-New York: Springer
-
Broer, H. W., Formal Normal Forms Theorems for Vector Fields and Some Consequences for Bifurcations in the Volume Preserving Case, Dynamical Systems and Turbulence, Warwick 1980 (Coventry, 1979/1980), A. Dold and B. Eckmann (Eds.), Lecture Notes in Math., vol. 898, Berlin-New York: Springer, 1980, pp. 54-74.
-
(1980)
Dynamical Systems and Turbulence, Warwick 1980 (Coventry, 1979/1980)
, vol.898
, pp. 54-74
-
-
Broer, H.W.1
|