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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On the persistence of elliptic lower-dimensional tori in Hamiltonian systems under the first Melnikov condition and Rüssmann’s non-degeneracy condition

Nonlinear Analysis ◽

10.1016/j.na.2006.02.018 ◽

2007 ◽

Vol 66 (8) ◽

pp. 1675-1685 ◽

Author(s):

Shaoping Wang ◽

Dongfeng Zhang ◽

Junxiang Xu

Keyword(s):

Hamiltonian Systems ◽

Degeneracy Condition ◽

Lower Dimensional Tori ◽

Lower Dimensional

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The persistence of elliptic lower dimensional tori with prescribed frequency for Hamiltonian systems

Electronic journal of qualitative theory of differential equations ◽

10.14232/ejqtde.2015.1.10 ◽

2015 ◽

pp. 1-12

Author(s):

Xuezhu Lu ◽

Junxiang Xu ◽

Yuedong Kong

Keyword(s):

Hamiltonian Systems ◽

Lower Dimensional Tori ◽

Lower Dimensional

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On the normal behaviour of partially elliptic lower-dimensional tori of Hamiltonian systems

Nonlinearity ◽

10.1088/0951-7715/10/4/001 ◽

1997 ◽

Vol 10 (4) ◽

pp. 783-822 ◽

Author(s):

Àngel Jorba ◽

Jordi Villanueva

Keyword(s):

Hamiltonian Systems ◽

Normal Behaviour ◽

Lower Dimensional Tori ◽

Lower Dimensional

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Birkhoff lower-dimensional tori in hamiltonian systems

Chinese Science Bulletin ◽

10.1007/bf02882777 ◽

1997 ◽

Vol 42 (22) ◽

pp. 1866-1870 ◽

Author(s):

Shaoli Wang ◽

Chongqing Cheng

Keyword(s):

Hamiltonian Systems ◽

Lower Dimensional Tori ◽

Lower Dimensional

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On elliptic lower dimensional tori for Gevrey-smooth Hamiltonian systems under Rüssmann's non-degeneracy condition

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2006.16.635 ◽

2006 ◽

Vol 16 (3) ◽

pp. 635-655 ◽

Author(s):

Dongfeng Zhang ◽

◽

Junxiang Xu ◽

Keyword(s):

Hamiltonian Systems ◽

Degeneracy Condition ◽

Lower Dimensional Tori ◽

Lower Dimensional

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