Discrete variation, Euler-Lagrange cohomology and symplectic, multisymplectic structures
文献类型：会议论文
| 作者 | Guo, HY; Wu, K |
| 出版日期 | 2001 |
| 会议日期 | MAY 21-25, 2001 |
| 会议地点 | BEIJING, PEOPLES R CHINA |
| 关键词 | NONCOMMUTATIVE DIFFERENTIAL-CALCULUS |
| 卷号 | 597 |
| 页码 | 385-395 |
| 英文摘要 | We introduce the discrete variational principle in the framework of multi-parameter differential approach by regarding the forward difference as an entire geometric object. By virtue of this variational principle, we get the difference discrete Euler-Lagrange equations for the difference discrete classical mechanics and classical field theory. We also explore the difference discrete versions for the Euler-Lagrange cohomology and apply to the symplectic or multisymplectic geometry and preserving property in discrete mechanics and field theory. 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 equations but also in the function space in each case if and only if the relevant closed Euler-Lagrange cohomological conditions are satisfied. |
| 会议录 | NONEQUILIBRIUM AND NONLINEAR DYNAMICS IN NUCLEAR AND OTHER FINITE SYSTEMS
 |
| 会议录出版者 | AMER INST PHYSICS |
| 会议录出版地 | MELVILLE |
| 语种 | 英语 |
| ISSN号 | 0094-243X |
| WOS研究方向 | Physics |
| ISBN号 | 0-7354-0041-5 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/23759]  |
| 专题 | SCI会议论文 |
| 作者单位 | Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guo, HY,Wu, K. Discrete variation, Euler-Lagrange cohomology and symplectic, multisymplectic structures[C]. 见:. BEIJING, PEOPLES R CHINA. MAY 21-25, 2001. |
入库方式： OAI收割
来源：理论物理研究所
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