KAM Type-Theorem for Lower Dimensional Tori in Random Hamiltonian Systems

KAM Type-Theorem for Lower Dimensional Tori in Random Hamiltonian Systems

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摘要 In this paper, we study the persistence of lower dimensional tori for random Hamiltonian systems, which shows that majority of the unperturbed tori persist as Cantor fragments of lower dimensional ones under small perturbation. Using this result, we can describe the stability of the non-autonomous dynamic systems. In this paper, we study the persistence of lower dimensional tori for random Hamiltonian systems, which shows that majority of the unperturbed tori persist as Cantor fragments of lower dimensional ones under small perturbation. Using this result, we can describe the stability of the non-autonomous dynamic systems.

作者 LI YONG XU LU

机构地区 College of Mathematics

出处《Communications in Mathematical Research》 CSCD 2011年第1期81-96,共16页 数学研究通讯（英文版）

基金 Partially supported by the SFC(10531050,10225107)of China the SRFDP(20040183030) the 985 program of Jilin University

关键词 random Hamiltonian system KAM type theorem Cantor fragment of invariant tori random Hamiltonian system, KAM type theorem, Cantor fragment of invariant tori

分类号 O175.1 [理学—数学] O175.2 [理学—基础数学]

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Communications in Mathematical Research

2011年第1期

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KAM Type-Theorem for Lower Dimensional Tori in Random Hamiltonian Systems

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