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On general volume-preserving mechanical systems via cohomology
Zhou, B; Guo, HY; Wu, K; Zhou, B , Chinese Acad Sci, Inst High Energy Phys, POB 918-4, Beijing 100039, Peoples R China.
2003
发表期刊COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN0253-6102
卷号40期号:5页码:595-600
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 the Hamilton mechanics and the ordinary canonical equations with Hamiltonian H are included as a special case with a 2-form Homega/(n-1).
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; Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China
关键词Euler-lagrange Cohomology Discrete Variational-principles Multisymplectic Structures
学科领域Physics
收录类别SCI
WOS记录号WOS:000187909800017
引用统计
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/14189
专题理论物理所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.
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Zhou, B,Guo, HY,Wu, K,et al. On general volume-preserving mechanical systems via cohomology[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2003,40(5):595-600.
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).On general volume-preserving mechanical systems via cohomology.COMMUNICATIONS IN THEORETICAL PHYSICS,40(5),595-600.
MLA Zhou, B,et al."On general volume-preserving mechanical systems via cohomology".COMMUNICATIONS IN THEORETICAL PHYSICS 40.5(2003):595-600.
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