The Euler-Lagrange cohomology and general volume-preserving systems
文献类型：期刊论文
| 作者 | 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. |
| 刊名 | MODERN PHYSICS LETTERS A
 |
| 出版日期 | 2003 |
| 卷号 | 18期号:27页码:1911-1923 |
| 关键词 | Discrete Variational-principles Multisymplectic Structures Algorithms |
| ISSN号 | 0217-7323 |
| 英文摘要 | 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. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| WOS记录号 | WOS:000185126000006 |
| 公开日期 | 2012-08-29 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/13224]  |
| 专题 | 理论物理研究所_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. |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：理论物理研究所
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