Rotation Numbers Of Invariant Manifolds Around Unstable Periodic Orbits For The Diamagnetic Kepler Problem
文献类型：期刊论文
| 作者 | Wu ZB(武作兵) ; Wu ZB(武作兵)
|
| 刊名 | Fractals-Complex Geometry Patterns And Scaling In Nature And Society
 |
| 出版日期 | 2008 |
| 页码 | 11-23 |
| 通讯作者邮箱 | wuzb@lnm.imech.ac.cn |
| 关键词 | Symbolic Dynamics Topological Template Diamagnetic Kepler Problem Symbolic Dynamics Henon Map Attractors Systems Chaos |
| ISSN号 | 0218-348X |
| 通讯作者 | Wu, ZB (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100080, Peoples R China. |
| 中文摘要 | In this paper, a method to construct topological template in terms of symbolic dynamics for the diamagnetic Kepler problem is proposed. To confirm the topological template, rotation numbers of invariant manifolds around unstable periodic orbits in a phase space are taken as an object of comparison. The rotation numbers are determined from the definition and connected with symbolic sequences encoding the periodic orbits in a reduced Poincare section. Only symbolic codes with inverse ordering in the forward mapping can contribute to the rotation of invariant manifolds around the periodic orbits. By using symbolic ordering, the reduced Poincare section is constricted along stable manifolds and a topological template, which preserves the ordering of forward sequences and can be used to extract the rotation numbers, is established. The rotation numbers computed from the topological template are the same as those computed from their original definition. |
| 类目[WOS] | Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences |
| 研究领域[WOS] | Mathematics ; Science & Technology - Other Topics |
| 关键词[WOS] | SYMBOLIC DYNAMICS ; HENON MAP ; ATTRACTORS ; SYSTEMS ; CHAOS |
| 收录类别 | SCI ; EI |
| 语种 | 英语 |
| WOS记录号 | WOS:000256700000002 |
| 公开日期 | 2009-08-03 ; 2009-09-14 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/26008]  |
| 专题 | 力学研究所_力学所知识产出(1956-2008) |
| 通讯作者 | Wu ZB(武作兵) |
| 推荐引用方式 GB/T 7714 | Wu ZB,Wu ZB. Rotation Numbers Of Invariant Manifolds Around Unstable Periodic Orbits For The Diamagnetic Kepler Problem[J]. Fractals-Complex Geometry Patterns And Scaling In Nature And Society,2008:11-23. |
| APA | 武作兵,&Wu ZB.(2008).Rotation Numbers Of Invariant Manifolds Around Unstable Periodic Orbits For The Diamagnetic Kepler Problem.Fractals-Complex Geometry Patterns And Scaling In Nature And Society,11-23. |
| MLA | 武作兵,et al."Rotation Numbers Of Invariant Manifolds Around Unstable Periodic Orbits For The Diamagnetic Kepler Problem".Fractals-Complex Geometry Patterns And Scaling In Nature And Society (2008):11-23. |
入库方式： OAI收割
来源：力学研究所
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