PERSISTENCE OF UNIFORMLY HYPERBOLIC LOWER DIMENSIONAL INVARIANT TORI OF HAMILTONIAN SYSTEMS

Taiwanese Journal of Mathematics ◽

10.11650/twjm/1500406014 ◽

2010 ◽

Vol 14 (5) ◽

pp. 1741-1762

Author(s):

Lei Jiao

Keyword(s):

Hamiltonian Systems ◽

Invariant Tori ◽

Lower Dimensional Invariant Tori ◽

Lower Dimensional

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Lower Dimensional Invariant Tori in the Regions of Instability for Nearly Integrable Hamiltonian Systems

Communications in Mathematical Physics ◽

10.1007/s002200050618 ◽

1999 ◽

Vol 203 (2) ◽

pp. 385-419 ◽

Author(s):

Chong-Qing Cheng

Keyword(s):

Hamiltonian Systems ◽

Invariant Tori ◽

Integrable Hamiltonian Systems ◽

Lower Dimensional Invariant Tori ◽

Nearly Integrable Hamiltonian Systems ◽

Lower Dimensional

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Persistence of lower dimensional invariant tori for nearly integrable Hamiltonian systems

Nonlinear Analysis ◽

10.1016/s0362-546x(01)00904-x ◽

2003 ◽

Vol 52 (2) ◽

pp. 383-403 ◽

Author(s):

Junxiang Xu

Keyword(s):

Hamiltonian Systems ◽

Invariant Tori ◽

Integrable Hamiltonian Systems ◽

Lower Dimensional Invariant Tori ◽

Nearly Integrable Hamiltonian Systems ◽

Lower Dimensional

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Persistence of Elliptic Lower Dimensional Invariant Tori for Small Perturbation of Degenerate Integrable Hamiltonian Systems

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1997.5313 ◽

1997 ◽

Vol 208 (2) ◽

pp. 372-387 ◽

Author(s):

Xu Junxiang

Keyword(s):

Hamiltonian Systems ◽

Small Perturbation ◽

Invariant Tori ◽

Integrable Hamiltonian Systems ◽

Lower Dimensional Invariant Tori ◽

Lower Dimensional

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Persistence of Hyperbolic-type Degenerate Lower-dimensional Invariant Tori with Prescribed Frequencies in Hamiltonian Systems

Regular and Chaotic Dynamics ◽

10.1134/s1560354720060088 ◽

2020 ◽

Vol 25 (6) ◽

pp. 616-650

Author(s):

Junxiang Xu ◽

Jiangong You

Keyword(s):

Hamiltonian Systems ◽

Invariant Tori ◽

Hyperbolic Type ◽

Lower Dimensional Invariant Tori ◽

Lower Dimensional

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Persistence of lower dimensional invariant tori on sub-manifolds in Hamiltonian systems

Nonlinear Analysis ◽

10.1016/j.na.2005.01.106 ◽

2005 ◽

Vol 61 (8) ◽

pp. 1319-1342 ◽

Author(s):

Zhenxin Liu

Keyword(s):

Hamiltonian Systems ◽

Invariant Tori ◽

Lower Dimensional Invariant Tori ◽

Lower Dimensional

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Gevrey-Smoothness of Elliptic Lower Dimensional Invariant Tori in Hamiltonian Systems

Qualitative Theory of Dynamical Systems ◽

10.1007/s12346-017-0236-1 ◽

2017 ◽

Vol 17 (2) ◽

pp. 345-366

Author(s):

Bingfeng Wang ◽

Yanling Shi ◽

Shunjun Jiang

Keyword(s):

Hamiltonian Systems ◽

Invariant Tori ◽

Lower Dimensional Invariant Tori ◽

Lower Dimensional

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Gevrey-smoothness of elliptic lower-dimensional invariant tori in Hamiltonian systems under Rüssmann's non-degeneracy condition

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2005.10.029 ◽

2006 ◽

Vol 323 (1) ◽

pp. 293-312 ◽

Author(s):

Dongfeng Zhang ◽

Junxiang Xu

Keyword(s):

Hamiltonian Systems ◽

Invariant Tori ◽

Degeneracy Condition ◽

Lower Dimensional Invariant Tori ◽

Lower Dimensional

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Lower dimensional invariant tori with prescribed frequency for nonlinear wave equation

Journal of Differential Equations ◽

10.1016/j.jde.2010.04.003 ◽

2010 ◽

Vol 249 (11) ◽

pp. 2796-2821 ◽

Author(s):

Jiansheng Geng ◽

Xiufang Ren

Keyword(s):

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Invariant Tori ◽

Lower Dimensional Invariant Tori ◽

Lower Dimensional

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Lower dimensional invariant tori for quasiperiodically forced circle diffeomorphisms

Journal of Differential Equations ◽

10.1016/j.jde.2012.05.005 ◽

2012 ◽

Vol 253 (5) ◽

pp. 1489-1543 ◽

Author(s):

Jing Wang

Keyword(s):

Invariant Tori ◽

Lower Dimensional Invariant Tori ◽

Circle Diffeomorphisms ◽

Lower Dimensional

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Persistence of lower dimensional degenerate invariant tori with prescribed frequencies in Hamiltonian systems with small parameter

Nonlinearity ◽

10.1088/1361-6544/ac2c91 ◽

2021 ◽

Vol 34 (12) ◽

pp. 8192-8247

Author(s):

Junxiang Xu

Keyword(s):

Small Parameter ◽

Hamiltonian Systems ◽

Invariant Tori ◽

Lower Dimensional

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