Difference discrete variational principle, Euler-Lagrange cohomology and symplectic, multisymplectic structures II: Euler-Lagrange cohomology
文献类型：期刊论文
| 作者 | Guo, HY; Li, YQ; Wu, K; Wang, SK |
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 2002-02-15 |
| 卷号 | 37期号:2页码:129-138 |
| 关键词 | discrete variation Euler-Lagrange cohomology symplectic and multisymplectic structures |
| ISSN号 | 0253-6102 |
| 英文摘要 | In this second paper of a series of papers, we explore the difference discrete versions for the Euler-Lagrange cohomology and apply them to the symplectic or multisymplectic geometry and their preserving properties in both the Lagrangian and Hamiltonian formalisms for discrete mechanics and field theory in the framework of multi-parameter differential approach. In terms of the difference discrete Euler-Lagrange cohomological concepts, we show that the symplectic or multisymplectic geometry and their difference discrete structure-preserving properties can always be established not only in the solution spaces of the discrete Euler-Lagrange or canonical equations derived by the difference discrete variational principle but also in the function space in each case if and only if the relevant closed Euler-Lagrange cohomological conditions are satisfied. |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000173770800001 |
| 出版者 | INT ACADEMIC PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17914]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Guo, HY |
| 作者单位 | 1.Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China 2.Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China 3.Acad Sinica, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guo, HY,Li, YQ,Wu, K,et al. Difference discrete variational principle, Euler-Lagrange cohomology and symplectic, multisymplectic structures II: Euler-Lagrange cohomology[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2002,37(2):129-138. |
| APA | Guo, HY,Li, YQ,Wu, K,&Wang, SK.(2002).Difference discrete variational principle, Euler-Lagrange cohomology and symplectic, multisymplectic structures II: Euler-Lagrange cohomology.COMMUNICATIONS IN THEORETICAL PHYSICS,37(2),129-138. |
| MLA | Guo, HY,et al."Difference discrete variational principle, Euler-Lagrange cohomology and symplectic, multisymplectic structures II: Euler-Lagrange cohomology".COMMUNICATIONS IN THEORETICAL PHYSICS 37.2(2002):129-138. |
入库方式： OAI收割
来源：数学与系统科学研究院
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