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Titlebook: Dynamical System and Chaos; An Introduction with Rui Dil?o Textbook 2023 The Editor(s) (if applicable) and The Author(s), under exclusive l

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發(fā)表于 2025-3-21 16:17:22 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Dynamical System and Chaos
副標(biāo)題An Introduction with
編輯Rui Dil?o
視頻videohttp://file.papertrans.cn/284/283850/283850.mp4
概述Includes applications of the theory of dynamical systems of finite dimension.Explores maps of the complex plane, and stochastic iterations of function systems.Provides examples of Mathematica programm
叢書名稱UNITEXT for Physics
圖書封面Titlebook: Dynamical System and Chaos; An Introduction with Rui Dil?o Textbook 2023 The Editor(s) (if applicable) and The Author(s), under exclusive l
描述.This textbook introduces the language and the techniques of the theory of dynamical systems of finite dimension for an audience of physicists, engineers, and mathematicians at the beginning of graduation. Author addresses geometric, measure, and computational aspects of the theory of dynamical systems. Some freedom is used in the more formal aspects, using only proofs when there is an algorithmic advantage or because a result is simple and powerful.. .The first part is an introductory course on dynamical systems theory. It can be taught at the master‘s level during one semester, not requiring specialized mathematical training. In the second part, the author describes some applications of the theory of dynamical systems. Topics often appear in modern dynamical systems and complexity theories, such as singular perturbation theory, delayed equations, cellular automata, fractal sets, maps of the complex plane, and stochastic iterations of function systems are briefly explored for advanced students. The author also explores applications in mechanics, electromagnetism, celestial mechanics, nonlinear control theory, and macroeconomy. A set of problems consolidating the knowledge of the d
出版日期Textbook 2023
關(guān)鍵詞Dynamical chaos theory; Applications of dynamical systems; Celestial mechanics; Centre Manifold; Poincar
版次1
doihttps://doi.org/10.1007/978-3-031-25154-2
isbn_softcover978-3-031-25156-6
isbn_ebook978-3-031-25154-2Series ISSN 2198-7882 Series E-ISSN 2198-7890
issn_series 2198-7882
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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發(fā)表于 2025-3-22 00:10:05 | 只看該作者
Brigitte Falkenburg,Margaret Morrisonial conditions and the associated Lyapunov exponents as a measure of chaoticity. We introduce bifurcation theory from an informal point of view. This analysis is restricted to codimension 1 local bifurcations of ordinary differential and difference equations (saddle-node, Hopf, pitchfork and transcritical).
板凳
發(fā)表于 2025-3-22 03:51:12 | 只看該作者
Brigitte Falkenburg,Margaret Morrisonved. We explore the dynamics of the Glass-Mackey model for the production of red blood cells. We survey exact results on the St?rmer problem describing the dynamics of charged particles in the Earth’s magnetosphere originating the Van Allen inner radiation belt, radiation aurorae and the South Atlantic anomaly.
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Alexandra Lindner,Michael Stadtelmannce equations and vector fields. We present the concept of stability of a fixed point of differential and difference equations. We linearise equations around fixed points and we discuss the Grobman–Hartman theorem. We determine the geometry of the one- and two-dimensional phase curves of linear diffe
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發(fā)表于 2025-3-22 18:44:05 | 只看該作者
Ermittlung des Werts für den Kunden approach to ergodicity and chaos. Bifurcations are intuitively analysed, and Feigenbaum universality results for interval maps are described. Some exact results on maps of an interval and complexity theory are described (Singer, Sarkovskii and Misiurewicz theorems). The stable, unstable, and centre
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發(fā)表于 2025-3-22 23:01:40 | 只看該作者
Brigitte Falkenburg,Margaret Morrisonial conditions and the associated Lyapunov exponents as a measure of chaoticity. We introduce bifurcation theory from an informal point of view. This analysis is restricted to codimension 1 local bifurcations of ordinary differential and difference equations (saddle-node, Hopf, pitchfork and transcr
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