Maslov index for homoclinic orbits of Hamiltonian systems
文献类型：期刊论文
| 作者 | Chen, Chao-Nien; Hu, Xijun |
| 刊名 | ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
 |
| 出版日期 | 2007 |
| 卷号 | 24期号:4页码:589-603 |
| 关键词 | Hamiltonian system homoclinic orbit Maslov index relative Morse index |
| ISSN号 | 0294-1449 |
| DOI | 10.1016/j.anihpc.2006.06.002 |
| 英文摘要 | A useful tool for studying nonlinear differential equations is index theory. For symplectic paths on bounded intervals, the index theory has been completely established, which revealed tremendous applications in the study of periodic orbits of Hamiltonian systems. Nevertheless, analogous questions concerning homoclinic orbits are still left open. In this paper we use a geometric approach to set up Maslov index for homoclinic orbits of Hamiltonian systems. On the other hand, a relative Morse index for homoclinic orbits will be derived through Fredholm index theory. It will be shown that these two indices coincide. (C) 2006 Elsevier Masson SAS. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000247909900006 |
| 出版者 | GAUTHIER-VILLARS/EDITIONS ELSEVIER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4474]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, Chao-Nien |
| 作者单位 | 1.Natl Changhua Univ Educ, Dept Math, Changhua, Taiwan 2.Chinese Acad Sci, Inst Math, AMSS, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Chao-Nien,Hu, Xijun. Maslov index for homoclinic orbits of Hamiltonian systems[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,2007,24(4):589-603. |
| APA | Chen, Chao-Nien,&Hu, Xijun.(2007).Maslov index for homoclinic orbits of Hamiltonian systems.ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,24(4),589-603. |
| MLA | Chen, Chao-Nien,et al."Maslov index for homoclinic orbits of Hamiltonian systems".ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 24.4(2007):589-603. |
入库方式： OAI收割
来源：数学与系统科学研究院
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