| 书目名称 | Discretization and Implicit Mapping Dynamics |
| 编辑 | Albert C. J. Luo |
| 视频video | |
| 概述 | The first monograph to discuss the implicit mapping dynamics of periodic flows to chaos.Provides both explicit and implicit discrete maps of continuous systems.Discusses the implicit dynamics of perio |
| 丛书名称 | Nonlinear Physical Science |
| 图书封面 |  |
| 描述 | This unique book presents the discretization of continuous systems and implicit mapping dynamics of periodic motions to chaos in continuous nonlinear systems. The stability and bifurcation theory of fixed points in discrete nonlinear dynamical systems is reviewed, and the explicit and implicit maps of continuous dynamical systems are developed through the single-step and multi-step discretizations. The implicit dynamics of period-m solutions in discrete nonlinear systems are discussed. The book also offers a generalized approach to finding analytical and numerical solutions of stable and unstable periodic flows to chaos in nonlinear systems with/without time-delay. The bifurcation trees of periodic motions to chaos in the Duffing oscillator are shown as a sample problem, while the discrete Fourier series of periodic motions and chaos are also presented. The book offers a valuable resource for university students, professors, researchers and engineers in the fields of applied mathematics, physics, mechanics, control systems, and engineering. |
| 出版日期 | Book 2015 |
| 关键词 | Chaos Duffing Oscillator; Discretization Continuous Systems; Discretization-Implicit Mapping Dynamics- |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-47275-0 |
| isbn_softcover | 978-3-662-51709-3 |
| isbn_ebook | 978-3-662-47275-0Series ISSN 1867-8440 Series E-ISSN 1867-8459 |
| issn_series | 1867-8440 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer-Verlag GmbH, DE |
发表于 2025-3-21 18:39:26
