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

作     者：LI YONG XU LU 

作者机构：College of MathematicsKey Laboratory of Symbolic computation and Knowledge Engineering of Ministry of EducationJilin UniversityChangchun130012 

出 版 物：《Communications in Mathematical Research》 (数学研究通讯:英文版)

年 卷 期：2011年第000卷第1期

页      面：81-96页

学科分类：0711[理学-系统科学] 07[理学] 070104[理学-应用数学] 071101[理学-系统理论] 0701[理学-数学] 

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

主　　题：random Hamiltonian system KAM type theorem Cantor fragment of invariant tori 

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 *** this result,we can describe the stability of the non-autonomous dynamic systems.