Difference discrete variational principle, Euler-Lagrange cohomology and symplectic, multisymplectic structures II: Euler-Lagrange cohomology

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	Difference discrete variational principle, Euler-Lagrange cohomology and symplectic, multisymplectic structures II: Euler-Lagrange cohomology
	Guo, HY; Li, YQ; Wu, K; Wang, SK; Guo, HY , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
刊名	COMMUNICATIONS IN THEORETICAL PHYSICS
	2002
卷号	37 期号:2 页码:129-138
ISSN号	0253-6102
英文摘要	In this second paper of a series of papers, we explore the difference discrete versions for the Euler-Lagrange cohomology and apply them to the symplectic or multisymplectic geometry and their preserving properties in both the Lagrangian and Hamiltonian formalisms for discrete mechanics and field theory in the framework of multi-parameter differential approach. In terms of the difference discrete Euler-Lagrange cohomological concepts, we show that the symplectic or multisymplectic geometry and their difference discrete structure-preserving properties can always be established not only in the solution spaces of the discrete Euler-Lagrange or canonical equations derived by the difference discrete variational principle but also in the function space in each case if and only if the relevant closed Euler-Lagrange cohomological conditions are satisfied.
学科主题	Physics
URL标识	查看原文
WOS记录号	WOS:000173770800001
公开日期	2012-08-29
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/13595]
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	Guo, HY , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
推荐引用方式 GB/T 7714	Guo, HY,Li, YQ,Wu, K,et al. Difference discrete variational principle, Euler-Lagrange cohomology and symplectic, multisymplectic structures II: Euler-Lagrange cohomology[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2002,37(2):129-138.
APA	Guo, HY,Li, YQ,Wu, K,Wang, SK,&Guo, HY , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China..(2002).Difference discrete variational principle, Euler-Lagrange cohomology and symplectic, multisymplectic structures II: Euler-Lagrange cohomology.COMMUNICATIONS IN THEORETICAL PHYSICS,37(2),129-138.
MLA	Guo, HY,et al."Difference discrete variational principle, Euler-Lagrange cohomology and symplectic, multisymplectic structures II: Euler-Lagrange cohomology".COMMUNICATIONS IN THEORETICAL PHYSICS 37.2(2002):129-138.