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题名: The Euler-Lagrange cohomology and general volume-preserving systems
作者: Zhou, B ;  Guo, HY ;  Pan, HZ ;  Wu, K
刊名: MODERN PHYSICS LETTERS A
出版日期: 2003
卷号: 18, 期号:27, 页码:1911-1923
关键词: DISCRETE VARIATIONAL-PRINCIPLES ;  MULTISYMPLECTIC STRUCTURES ;  ALGORITHMS
学科分类: Physics
通讯作者: Zhou, B , Chinese Acad Sci, Inst High Energy Phys, POB 918-4, Beijing 100039, Peoples R China.
部门归属: Chinese Acad Sci, Inst High Energy Phys, Beijing 100039, Peoples R China; Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China; Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China; Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China
英文摘要: We briefly introduce the concept of Euler-Lagrange cohomology groups on a symplectic manifold (M-2n,omega) and systematically present the general form of volume-preserving equations on the manifold from the cohomological point of view. It is shown that for every volume-preserving flow generated by these equations there is an important two-form that plays the analog role with the Hamiltonian in the Hamilton mechanics. In addition, the ordinary canonical equations with Hamiltonian H are included as a special case with the two-form 1/n-1 1 1 Homega. The other volume preserving systems on (M-2n ,omega) are studied. The relations between our approach and Feng-Shang's volume-preserving systems as well as the Nambu mechanics are also explored.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000185126000006
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/13224
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:
Zhou, B,Guo, HY,Pan, HZ,et al. The Euler-Lagrange cohomology and general volume-preserving systems[J]. MODERN PHYSICS LETTERS A,2003,18(27):1911-1923.
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