Chaotic Dynamics in Nonlinear Theory / by Lakshmi Burra
| データ種別 | 電子書籍 |
|---|---|
| 出版者 | New Delhi : Springer India : Imprint: Springer |
| 出版年 | 2014 |
書誌詳細を非表示
| 書誌ID | OB01023694 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | Chapter 1. Topological Considerations -- Chapter 2. Topological horseshoes and coin-tossing dynamics -- Chapter 3. Chaotic Dynamics in the vertically driven planar pendulum -- Chapter 4. Chaos in a pendulum with variable length. License restrictions may limit access Summary: Using phase–plane analysis, findings from the theory of topological horseshoes and linked-twist maps, this book presents a novel method to prove the existence of chaotic dynamics. In dynamical systems, complex behavior in a map can be indicated by showing the existence of a Smale-horseshoe-like structure, either for the map itself or its iterates. This usually requires some assumptions about the map, such as a diffeomorphism and some hyperbolicity conditions. In this text, less stringent definitions of a horseshoe have been suggested so as to reproduce some geometrical features typical of the Smale horseshoe, while leaving out the hyperbolicity conditions associated with it. This leads to the study of the so-called topological horseshoes. The presence of chaos-like dynamics in a vertically driven planar pendulum, a pendulum of variable length, and in other more general related equations is also proved |
| 著者標目 | *Burra, Lakshmi SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Differentiable dynamical systems LCSH:Differential equations, partial FREE:Mathematics FREE:Dynamical Systems and Ergodic Theory FREE:Partial Differential Equations FREE:Nonlinear Dynamics |
| 分 類 | LCC:QA313 DC23:515.39 DC23:515.48 |
| 巻冊次 | ISBN:9788132220923 RefWorks出力（各巻） print ; ISBN:9788132220916 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
目次・あらすじ