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

作　　者：刘柏枫 史少云 王国铭 

机构地区：[1]School of Mathematics, Jilin University, 130012 Department of Mathematics, Beihua University, Jilin, 132013 [2]School of Mathematics, Jilin University, 130012 [3]School of Mathematics, Jilin University, 130012n 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.

出　　处：《Northeastern Mathematical Journal》2003年第3期273-282,共10页东北数学（英文版）

基　　金：The NNSF (10271003) of China.

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.

关 键 词：Hamiltonian system quasiperiodic perturbation invariant tori 

分 类 号：O174[理学—数学]