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题名: General volume-preserving mechanical systems
作者: Zhou, B ;  Guo, HY ;  Wu, K
刊名: LETTERS IN MATHEMATICAL PHYSICS
出版日期: 2003
卷号: 64, 期号:3, 页码:235-243
关键词: EULER-LAGRANGE COHOMOLOGY ;  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; 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 Hamilton mechanics. The ordinary canonical equations are included as a special case with a 2-form 1/(n - 1)Homega, where H is the corresponding Hamiltonian.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000185359700006
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/13287
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. General volume-preserving mechanical systems[J]. LETTERS IN MATHEMATICAL PHYSICS,2003,64(3):235-243.
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