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QUASI-EFFECTIVE STABILITY FOR NEARLY INTEGRABLE HAMILTONIAN SYSTEMS

文献类型：期刊论文

作者Cong, Fuzhong1; Hong, Jialin2; Li, Hongtian3
刊名DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
出版日期2016
卷号21期号:1页码:67-80
关键词Effective stability quasi-effective stability near-invariant torus nearly integrable Hamiltonian system
ISSN号1531-3492
DOI10.3934/dcdsb.2016.21.67
英文摘要This paper concerns with the stability of the orbits for nearly integrable Hamiltonian systems. Based on Nekehoroshev's original works in [14], we present the definition of quasi-effective stability and prove a theorem on quasi-effective stability under the Russmann's non-degeneracy. Our result gives a relation between KAM theorem and effective stability. A rapidly converging iteration procedure with two parameters is designed.
资助项目NSFC[91130003] ; NSFC[10901074] ; NSFC[11271171] ; NSFC[11171350]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000365616600005
出版者AMER INST MATHEMATICAL SCIENCES
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/21382]  
专题计算数学与科学工程计算研究所
通讯作者Cong, Fuzhong
作者单位1.Aviat Univ Air Force, Fundamental Dept, Changchun 130022, Peoples R China
2.Chinese Acad Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Jilin Univ, Sch Math, Changchun 130012, Peoples R China
推荐引用方式
GB/T 7714		 Cong, Fuzhong,Hong, Jialin,Li, Hongtian. QUASI-EFFECTIVE STABILITY FOR NEARLY INTEGRABLE HAMILTONIAN SYSTEMS[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2016,21(1):67-80.
APA Cong, Fuzhong,Hong, Jialin,&Li, Hongtian.(2016).QUASI-EFFECTIVE STABILITY FOR NEARLY INTEGRABLE HAMILTONIAN SYSTEMS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,21(1),67-80.
MLA Cong, Fuzhong,et al."QUASI-EFFECTIVE STABILITY FOR NEARLY INTEGRABLE HAMILTONIAN SYSTEMS".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 21.1(2016):67-80.

入库方式： OAI收割

来源：数学与系统科学研究院

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