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题名: Difference discrete variational principle, Euler-Lagrange cohomology and symplectic, multisymplectic structures II: Euler-Lagrange cohomology
作者: Guo, HY ;  Li, YQ ;  Wu, K ;  Wang, SK
刊名: COMMUNICATIONS IN THEORETICAL PHYSICS
出版日期: 2002
卷号: 37, 期号:2, 页码:129-138
学科分类: Physics
通讯作者: Guo, HY , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
部门归属: Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China; Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China; Acad Sinica, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
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.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000173770800001
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/13595
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
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.
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