Lower-Dimensional Invariant Tori for Perturbations of a Class of Non-convex Hamiltonian Functions

Journal of Statistical Physics ◽

10.1007/s10955-012-0682-8 ◽

2013 ◽

Vol 150 (1) ◽

pp. 156-180 ◽

Author(s):

Livia Corsi ◽

Roberto Feola ◽

Guido Gentile

Keyword(s):

Invariant Tori ◽

Lower Dimensional Invariant Tori ◽

Hamiltonian Functions ◽

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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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 Degenerate Lower Dimensional Invariant Tori in Reversible Systems with Bruno Non-degeneracy Conditions

Qualitative Theory of Dynamical Systems ◽

10.1007/s12346-020-00439-5 ◽

2021 ◽

Vol 20 (1) ◽

Author(s):

Xiaomei Yang ◽

Junxiang Xu

Keyword(s):

Invariant Tori ◽

Reversible Systems ◽

Lower Dimensional Invariant Tori ◽

Lower Dimensional

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Persistence of lower dimensional invariant tori in a class of reversible systems

Dynamical Systems ◽

10.1080/14689367.2017.1298725 ◽

2017 ◽

Vol 33 (1) ◽

pp. 72-92

Author(s):

Weiwei Hong ◽

Dongfeng Zhang

Keyword(s):

Invariant Tori ◽

Reversible Systems ◽

Lower Dimensional Invariant Tori ◽

Lower Dimensional

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Completely degenerate lower-dimensional invariant tori for Hamiltonian system

Journal of Differential Equations ◽

10.1016/j.jde.2018.12.001 ◽

2019 ◽

Vol 266 (11) ◽

pp. 7459-7480 ◽

Author(s):

Shengqing Hu ◽

Bin Liu

Keyword(s):

Hamiltonian System ◽

Invariant Tori ◽

Lower Dimensional Invariant Tori ◽

Lower Dimensional

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Persistence of Degenerate Lower Dimensional Invariant Tori with Prescribed Frequencies in Reversible Systems

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-021-09989-x ◽

2021 ◽

Author(s):

Xiaomei Yang ◽

Junxiang Xu ◽

Shunjun Jiang

Keyword(s):

Invariant Tori ◽

Reversible Systems ◽

Lower Dimensional Invariant Tori ◽

Lower Dimensional

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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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