A KAM theorem without action-angle variables for elliptic lower dimensional tori

Nonlinearity ◽

10.1088/0951-7715/24/4/003 ◽

2011 ◽

Vol 24 (4) ◽

pp. 1033-1080 ◽

Author(s):

Alejandro Luque ◽

Jordi Villanueva

Keyword(s):

Kam Theorem ◽

Lower Dimensional Tori ◽

Lower Dimensional

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A New KAM Theorem for the Hyperbolic Lower Dimensional Tori in Reversible Systems

Acta Applicandae Mathematicae ◽

10.1007/s10440-015-0027-0 ◽

2015 ◽

Vol 143 (1) ◽

pp. 45-61 ◽

Author(s):

Xiaocai Wang ◽

Junxiang Xu ◽

Dongfeng Zhang

Keyword(s):

Reversible Systems ◽

Kam Theorem ◽

Lower Dimensional Tori ◽

Lower Dimensional

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A KAM theorem for the elliptic lower dimensional tori with one normal frequency in reversible systems

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2017092 ◽

2017 ◽

Vol 37 (4) ◽

pp. 2141-2160

Author(s):

Xiaocai Wang ◽

◽

Junxiang Xu ◽

Dongfeng Zhang ◽

Keyword(s):

Reversible Systems ◽

Kam Theorem ◽

Normal Frequency ◽

Lower Dimensional Tori ◽

Lower Dimensional

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A KAM Theorem for Hyperbolic-Type Degenerate Lower Dimensional Tori in Hamiltonian Systems

Communications in Mathematical Physics ◽

10.1007/s002200050294 ◽

1998 ◽

Vol 192 (1) ◽

pp. 145-168 ◽

Author(s):

Jiangong You

Keyword(s):

Hamiltonian Systems ◽

Hyperbolic Type ◽

Kam Theorem ◽

Lower Dimensional Tori ◽

Lower Dimensional

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On the Persistence of Lower-Dimensional Tori in Reversible Systems with Hyperbolic-Type Degenerate Equilibrium Point Under Small Perturbations

Acta Applicandae Mathematicae ◽

10.1007/s10440-021-00419-0 ◽

2021 ◽

Vol 173 (1) ◽

Author(s):

Xiaocai Wang ◽

Xiaofei Cao

Keyword(s):

Equilibrium Point ◽

Hyperbolic Type ◽

Reversible Systems ◽

Small Perturbations ◽

Degenerate Equilibrium ◽

Lower Dimensional Tori ◽

Lower Dimensional

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Persistence of lower dimensional tori of general types in Hamiltonian systems

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-04-03564-0 ◽

2004 ◽

Vol 357 (4) ◽

pp. 1565-1600 ◽

Author(s):

Yong Li ◽

Yingfei Yi

Keyword(s):

Hamiltonian Systems ◽

Lower Dimensional Tori ◽

Lower Dimensional

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KAM Theory for Lower Dimensional Tori of Nearly Integrable Hamiltonian Systems

Progress In Nonlinear Analysis ◽

10.1142/9789812792730_0026 ◽

2000 ◽

pp. 409-422 ◽

Author(s):

Jiangong You

Keyword(s):

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

Lower Dimensional Tori ◽

Nearly Integrable Hamiltonian Systems ◽

Lower Dimensional

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The Surviving of Lower Dimensional Tori from a Resonant Torus of Hamiltonian Systems

Journal of Differential Equations ◽

10.1006/jdeq.1998.3586 ◽

1999 ◽

Vol 155 (2) ◽

pp. 311-326 ◽

Author(s):

Chong-Qing Cheng ◽

Shaoli Wang

Keyword(s):

Hamiltonian Systems ◽

Lower Dimensional Tori ◽

Lower Dimensional

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Lower-dimensional tori for generic Hamiltonian systems

Chinese Science Bulletin ◽

10.1007/bf02885962 ◽

1999 ◽

Vol 44 (13) ◽

pp. 1187-1191 ◽

Author(s):

Shaoli Wang ◽

Chongqing Cheng

Keyword(s):

Hamiltonian Systems ◽

Lower Dimensional Tori ◽

Lower Dimensional

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On elliptic lower dimensional tori in hamiltonian systems

Mathematische Zeitschrift ◽

10.1007/bf01221590 ◽

1989 ◽

Vol 202 (4) ◽

pp. 559-608 ◽

Author(s):

J�rgen P�schel

Keyword(s):

Hamiltonian Systems ◽

Lower Dimensional Tori ◽

Lower Dimensional

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Lower-Dimensional Tori in Multi-Scale, Nearly Integrable Hamiltonian Systems

Annales Henri Poincaré ◽

10.1007/s00023-016-0516-3 ◽

2016 ◽

Vol 18 (1) ◽

pp. 53-83 ◽

Author(s):

Lu Xu ◽

Yong Li ◽

Yingfei Yi

Keyword(s):

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

Multi Scale ◽

Lower Dimensional Tori ◽

Nearly Integrable Hamiltonian Systems ◽

Lower Dimensional

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