General volume-preserving mechanical systems

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	General volume-preserving mechanical systems
	Zhou, B; Guo, HY; Wu, K; Zhou, B , Chinese Acad Sci, Inst High Energy Phys, POB 918-4, Beijing 100039, Peoples R China.
刊名	LETTERS IN MATHEMATICAL PHYSICS
	2003
卷号	64 期号:3 页码:235-243
关键词	Euler-lagrange Cohomology Discrete Variational-principles Multisymplectic Structures Algorithms
ISSN号	0377-9017
英文摘要	We present the general form of equations that generate a volume-preserving flow on a symplectic manifold (M, omega) via the highest Euler-Lagrange cohomology. It is shown that for every volume-preserving flow there are some 2-forms that play a similar role to the Hamiltonian in Hamilton mechanics. The ordinary canonical equations are included as a special case with a 2-form 1/(n - 1)Homega, where H is the corresponding Hamiltonian.
学科主题	Physics
URL标识	查看原文
WOS记录号	WOS:000185359700006
公开日期	2012-08-29
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/13287]
专题	理论物理研究所_理论物理所1978-2010年知识产出
通讯作者	Zhou, B , Chinese Acad Sci, Inst High Energy Phys, POB 918-4, Beijing 100039, Peoples R China.
推荐引用方式 GB/T 7714	Zhou, B,Guo, HY,Wu, K,et al. General volume-preserving mechanical systems[J]. LETTERS IN MATHEMATICAL PHYSICS,2003,64(3):235-243.
APA	Zhou, B,Guo, HY,Wu, K,&Zhou, B , Chinese Acad Sci, Inst High Energy Phys, POB 918-4, Beijing 100039, Peoples R China..(2003).General volume-preserving mechanical systems.LETTERS IN MATHEMATICAL PHYSICS,64(3),235-243.
MLA	Zhou, B,et al."General volume-preserving mechanical systems".LETTERS IN MATHEMATICAL PHYSICS 64.3(2003):235-243.