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Rotation Numbers Of Invariant Manifolds Around Unstable Periodic Orbits For The Diamagnetic Kepler Problem | |
Wu ZB(武作兵) | |
发表期刊 | Fractals-Complex Geometry Patterns And Scaling In Nature And Society |
2008 | |
页码 | 11-23 |
ISSN | 0218-348X |
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. |
关键词 | Symbolic Dynamics Topological Template Diamagnetic Kepler Problem Symbolic Dynamics Henon Map Attractors Systems Chaos |
DOI | 10.1142/S0218348X08003831 |
收录类别 | SCI ; EI |
语种 | 英语 |
WOS记录号 | WOS:000256700000002 |
关键词[WOS] | SYMBOLIC DYNAMICS ; HENON MAP ; ATTRACTORS ; SYSTEMS ; CHAOS |
WOS研究方向 | Mathematics ; Science & Technology - Other Topics |
WOS类目 | Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://dspace.imech.ac.cn/handle/311007/26008 |
专题 | 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. 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 | 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 | Wu ZB."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. |
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