QUASI-EFFECTIVE STABILITY FOR NEARLY INTEGRABLE HAMILTONIAN SYSTEMS

doi:10.3934/dcdsb.2016.21.67

	QUASI-EFFECTIVE STABILITY FOR NEARLY INTEGRABLE HAMILTONIAN SYSTEMS
	Cong, Fuzhong 1; Hong, Jialin2 ; Li, Hongtian 3
	2016
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN	1531-3492
卷号	21 期号:1 页码:67-80
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.
关键词	Effective stability quasi-effective stability near-invariant torus nearly integrable Hamiltonian system
DOI	10.3934/dcdsb.2016.21.67
语种	英语
资助项目	NSFC[91130003] ; NSFC[10901074] ; NSFC[11271171] ; NSFC[11171350]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000365616600005
出版者	AMER INST MATHEMATICAL SCIENCES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21383
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.