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The Euler-Lagrange cohomology and general volume-preserving systems
Zhou, B; Guo, HY; Pan, HZ; Wu, K; Zhou, B , Chinese Acad Sci, Inst High Energy Phys, POB 918-4, Beijing 100039, Peoples R China.
2003
发表期刊MODERN PHYSICS LETTERS A
ISSN0217-7323
卷号18期号:27页码:1911-1923
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.
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
关键词Discrete Variational-principles Multisymplectic Structures Algorithms
学科领域Physics
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收录类别SCI
WOS记录号WOS:000185126000006
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被引频次:1[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/13224
专题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.
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GB/T 7714
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.
APA Zhou, B,Guo, HY,Pan, HZ,Wu, K,&Zhou, B , Chinese Acad Sci, Inst High Energy Phys, POB 918-4, Beijing 100039, Peoples R China..(2003).The Euler-Lagrange cohomology and general volume-preserving systems.MODERN PHYSICS LETTERS A,18(27),1911-1923.
MLA Zhou, B,et al."The Euler-Lagrange cohomology and general volume-preserving systems".MODERN PHYSICS LETTERS A 18.27(2003):1911-1923.
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