A KAM Theorem for Lower Dimensional Elliptic Invariant Tori of Nearly Integrable Symplectic Mappings

This paper develops a new KAM theorem for a class of lower dimensional elliptic invariant tori of nearly integrable symplectic mappings with generating functions but without assuming any nondegenerate condition.

Gevrey-smoothness of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings

Journal of Inequalities and Applications ◽

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Vol 2017 (1) ◽

Author(s):

Shunjun Jiang

Keyword(s):

Invariant Tori ◽

Symplectic Mappings ◽

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Keyword(s):

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Acta Applicandae Mathematicae ◽

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pp. 45-61 ◽

Cited By ~ 1

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Dongfeng Zhang

Keyword(s):

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Kam Theorem ◽

Lower Dimensional Tori ◽

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10.1016/j.jde.2012.05.005 ◽

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Vol 34 (12) ◽

pp. 8192-8247

Author(s):

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Keyword(s):

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Invariant Tori ◽

A KAM Theorem for a Class of Nearly Integrable Symplectic Mappings

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-015-9427-0 ◽

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Vol 29 (1) ◽

pp. 131-154 ◽

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Persistence of lower dimensional invariant tori for nearly integrable Hamiltonian systems

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pp. 383-403 ◽

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Nearly Integrable Hamiltonian Systems ◽

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Keyword(s):

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Small Perturbation ◽

Invariant Tori ◽

Integrable Hamiltonian Systems ◽