Near-invariant tori on exponentially long time for Poisson systems

doi:10.1016/j.jmaa.2006.12.046

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	Near-invariant tori on exponentially long time for Poisson systems
	Cong, Fuzhong ; Hong, Jialin ; Han, Yuliang
	2007-10-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	334 期号:1 页码:59-68
摘要	This paper deals with the near-invariant tori for Poisson systems. It is shown that the orbits with the initial points near the Diophantine torus approach some quasi-periodic orbits over an extremely long time. In particular, the results hold for the classical Hamiltonian system, and in this case the drift of the motions is smaller than the one in the past works. (c) 2006 Elsevier Inc. All rights reserved.
关键词	Poisson system near-invariant tori rapidly Newton iteration
DOI	10.1016/j.jmaa.2006.12.046
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000247811100006
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4725
专题	中国科学院数学与系统科学研究院
通讯作者	Hong, Jialin
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Air Force Aviat Univ, Dept Fundamental, Off Math, Changchun 130022, Peoples R China 3.Shanghai Inst Business & Technol, Sch Math & Informat Sci, Yantai 264005, Peoples R China
推荐引用方式 GB/T 7714	Cong, Fuzhong,Hong, Jialin,Han, Yuliang. Near-invariant tori on exponentially long time for Poisson systems[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2007,334(1):59-68.
APA	Cong, Fuzhong,Hong, Jialin,&Han, Yuliang.(2007).Near-invariant tori on exponentially long time for Poisson systems.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,334(1),59-68.
MLA	Cong, Fuzhong,et al."Near-invariant tori on exponentially long time for Poisson systems".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 334.1(2007):59-68.