Symplectic structure of poisson system

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	Symplectic structure of poisson system
	Sun, JQ ; Ma, ZQ ; Tian, YM ; Qin, MZ
	2005-11-01
发表期刊	APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN	0253-4827
卷号	26 期号:11 页码:1484-1490
摘要	When the Poisson matrix of Poisson system is non-constant, classical symplectic methods, such as symplectic Runge-Kutta method, generating function method, cannot preserve the Poisson structure. The non-constant Poisson structure was transformed into the symplectic structure by the nonlinear transform. Arbitrary order symplectic method was applied to the transformed Poisson system. The Euler equation of the free rigid body problem was transformed into the symplectic structure and computed by the mid-point scheme. Numerical results show the effectiveness of the nonlinear transform.
关键词	Poisson system nonlinear transformation symplectic method rigid body problem
语种	英语
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000233779600012
出版者	SHANGHAI UNIV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2337
专题	中国科学院数学与系统科学研究院
通讯作者	Sun, JQ
作者单位	1.Chinese Acad Sci, Inst High Energy Phys, Beijing 100039, Peoples R China 2.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China 3.Chinese Acad Sci, Inst Software, Beijing 100080, Peoples R China 4.Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Sun, JQ,Ma, ZQ,Tian, YM,et al. Symplectic structure of poisson system[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2005,26(11):1484-1490.
APA	Sun, JQ,Ma, ZQ,Tian, YM,&Qin, MZ.(2005).Symplectic structure of poisson system.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,26(11),1484-1490.
MLA	Sun, JQ,et al."Symplectic structure of poisson system".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 26.11(2005):1484-1490.