KAM-type Theorem for Nearly Integrable Hamiltonian with a Quasiperiodic Perturbation

KAM-type Theorem for Nearly Integrable Hamiltonian with a Quasiperiodic Perturbation

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摘要 In this paper we consider the persistence of invariant tori of an integrable Hamiltonian system with a quasiperiodic perturbation. It is proved that if the unperturbed system satisfies the Rtissmann non-degenerate condition and the perturbed system satisfies the co-linked non-resonant condition, then the majority of invariant tori is persistent under the perturbation. In this paper we consider the persistence of invariant tori of an integrable Hamiltonian system with a quasiperiodic perturbation. It is proved that if the unperturbed system satisfies the Rtissmann non-degenerate condition and the perturbed system satisfies the co-linked non-resonant condition, then the majority of invariant tori is persistent under the perturbation.

作者刘柏枫史少云王国铭

机构地区 School of Mathematics School of Mathematics School of Mathematics

出处《Northeastern Mathematical Journal》 CSCD 2003年第3期273-282,共10页 东北数学（英文版）

基金 The NNSF (10271003) of China.

关键词 Hamiltonian system quasiperiodic perturbation invariant tori Hamiltonian system, quasiperiodic perturbation, invariant tori

分类号 O174 [理学—基础数学]

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Northeastern Mathematical Journal

2003年第3期

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KAM-type Theorem for Nearly Integrable Hamiltonian with a Quasiperiodic Perturbation

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