Exterior difference systems and invariance properties of discrete mechanics
文献类型：期刊论文
| 作者 | Xie, Zheng1,2; Xie, Duanqiang1,2; Li, Hongbo1,2
|
| 刊名 | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
 |
| 出版日期 | 2008-06-27 |
| 卷号 | 41期号:25页码:14 |
| ISSN号 | 1751-8113 |
| DOI | 10.1088/1751-8113/41/25/255208 |
| 英文摘要 | Invariance properties describe the fundamental physical laws in discrete mechanics. Can those properties be described in a geometric way? We investigate an exterior difference system called the discrete Euler-Lagrange system, whose solution has one-to-one correspondence with solutions of discrete Euler-Lagrange equations, and use it to define the first integrals. The preservation of the discrete symplectic form along the discrete Hamilton phase flows and the discrete Noether's theorem is also described in the language of difference forms. |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000256693900014 |
| 出版者 | IOP PUBLISHING LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5739]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Xie, Zheng |
| 作者单位 | 1.Zhejiang Univ, Ctr Math Sci, Zhejiang 310027, Peoples R China 2.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xie, Zheng,Xie, Duanqiang,Li, Hongbo. Exterior difference systems and invariance properties of discrete mechanics[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2008,41(25):14. |
| APA | Xie, Zheng,Xie, Duanqiang,&Li, Hongbo.(2008).Exterior difference systems and invariance properties of discrete mechanics.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,41(25),14. |
| MLA | Xie, Zheng,et al."Exterior difference systems and invariance properties of discrete mechanics".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 41.25(2008):14. |
入库方式： OAI收割
来源：数学与系统科学研究院
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