ITP OpenIR  > 理论物理所科研产出  > SCI论文
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.
The Euler-Lagrange cohomology and general volume-preserving systems
Source PublicationMODERN PHYSICS LETTERS A
KeywordDiscrete Variational-principles Multisymplectic Structures Algorithms
AbstractWe 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.
2003
ISSN0217-7323
Volume18Issue:27Pages:1911-1923
Subject AreaPhysics
Indexed BySCI
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/13224
Collection理论物理所科研产出_SCI论文
Corresponding AuthorZhou, B , Chinese Acad Sci, Inst High Energy Phys, POB 918-4, Beijing 100039, Peoples R China.
Recommended Citation
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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