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题名: On general volume-preserving mechanical systems via cohomology
作者: Zhou, B ;  Guo, HY ;  Wu, K
刊名: COMMUNICATIONS IN THEORETICAL PHYSICS
出版日期: 2003
卷号: 40, 期号:5, 页码:595-600
关键词: EULER-LAGRANGE COHOMOLOGY ;  DISCRETE VARIATIONAL-PRINCIPLES ;  MULTISYMPLECTIC STRUCTURES
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; Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China
英文摘要: 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).
收录类别: SCI
WOS记录号: WOS:000187909800017
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/14189
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,Wu, K. On general volume-preserving mechanical systems via cohomology[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2003,40(5):595-600.
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