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Titlebook: Discretization and Implicit Mapping Dynamics; Albert C. J. Luo Book 2015 The Editor(s) (if applicable) and The Author(s), under exclusive

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發(fā)表于 2025-3-21 18:39:26 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Discretization and Implicit Mapping Dynamics
編輯Albert C. J. Luo
視頻videohttp://file.papertrans.cn/282/281218/281218.mp4
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
叢書(shū)名稱(chēng)Nonlinear Physical Science
圖書(shū)封面Titlebook: Discretization and Implicit Mapping Dynamics; Albert C. J. Luo Book 2015 The Editor(s) (if applicable) and The Author(s), under exclusive
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
關(guān)鍵詞Chaos Duffing Oscillator; Discretization Continuous Systems; Discretization-Implicit Mapping Dynamics-
版次1
doihttps://doi.org/10.1007/978-3-662-47275-0
isbn_softcover978-3-662-51709-3
isbn_ebook978-3-662-47275-0Series ISSN 1867-8440 Series E-ISSN 1867-8459
issn_series 1867-8440
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer-Verlag GmbH, DE
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沙發(fā)
發(fā)表于 2025-3-21 23:54:17 | 只看該作者
1867-8440 continuous systems.Discusses the implicit dynamics of perioThis 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 dynami
板凳
發(fā)表于 2025-3-22 02:19:08 | 只看該作者
https://doi.org/10.1007/978-3-319-17999-5r, discrete dynamical systems are introduced. Based on the Yin–Yang theory, the complete dynamics of implicit discrete dynamical systems can be discussed. A discrete dynamical system with the Henon map is investigated as an example. Period-. solutions, stability, and bifurcations for multi-step, implicit discrete systems will be discussed.
地板
發(fā)表于 2025-3-22 08:07:01 | 只看該作者
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發(fā)表于 2025-3-22 15:34:01 | 只看該作者
Discretization of Continuous Systems,rpolation, which include a generalized implicit Runge–Kutta method, Gauss method, Radau method, and Lotta methods. In addition to one-step methods, implicit and explicit multi-step methods are discussed, including Adams–Bashforth method, Adams–Moulton methods, and explicit and implicit Adams methods.
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發(fā)表于 2025-3-22 17:37:18 | 只看該作者
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發(fā)表于 2025-3-23 00:58:53 | 只看該作者
Wilfried M. Bunzel,Thomas Ruhnauiodic motions will be presented for the verification of the analytical prediction. The harmonic amplitude spectrums will also be presented, and the corresponding analytical expressions of periodic motions can be obtained approximately.
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發(fā)表于 2025-3-23 03:37:05 | 只看該作者
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發(fā)表于 2025-3-23 05:35:05 | 只看該作者
Periodic Motions to Chaos in Duffing Oscillator,iodic motions will be presented for the verification of the analytical prediction. The harmonic amplitude spectrums will also be presented, and the corresponding analytical expressions of periodic motions can be obtained approximately.
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