Symplectic structure of poisson system
文献类型：期刊论文
| 作者 | Sun JQ(孙建强); Ma ZQ(马中骐); Sun, JQ; Ma, ZQ; Tian, YM; Qin, MZ |
| 刊名 | APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
 |
| 出版日期 | 2005 |
| 卷号 | 26期号:11页码:1484-1490 |
| 关键词 | Poisson system nonlinear transformation symplectic method rigid body problem |
| 通讯作者 | Chinese Acad Sci, Inst High Energy Phys, Beijing 100039, Peoples R China ; Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China ; Chinese Acad Sci, Inst Software, Beijing 100080, Peoples R China ; Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China |
| 英文摘要 | When the Poisson matrix of Poisson system is non-constant, classical symplectic methods, such as symplectic Runge-Kutta method, generating function method, cannot preserve the Poisson structure. The non-constant Poisson structure was transformed into the symplectic structure by the nonlinear transform. Arbitrary order symplectic method was applied to the transformed Poisson system. The Euler equation of the free rigid body problem was transformed into the symplectic structure and computed by the mid-point scheme. Numerical results show the effectiveness of the nonlinear transform. |
| 学科主题 | Mathematics; Mechanics |
| 类目[WOS] | Mathematics, Applied ; Mechanics |
| 研究领域[WOS] | Mathematics ; Mechanics |
| 原文出处 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000233779600012 |
| 源URL | [http://ir.ihep.ac.cn/handle/311005/239374]  |
| 专题 | 高能物理研究所_理论物理室 |
| 作者单位 | 中国科学院高能物理研究所 |
| 推荐引用方式 GB/T 7714 | Sun JQ,Ma ZQ,Sun, JQ,et al. Symplectic structure of poisson system[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2005,26(11):1484-1490. |
| APA | 孙建强,马中骐,Sun, JQ,Ma, ZQ,Tian, YM,&Qin, MZ.(2005).Symplectic structure of poisson system.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,26(11),1484-1490. |
| MLA | 孙建强,et al."Symplectic structure of poisson system".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 26.11(2005):1484-1490. |
入库方式： OAI收割
来源：高能物理研究所
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