| 书目名称 | Dynamical System and Chaos | | 副标题 | An Introduction with | | 编辑 | Rui Dilão | | 视频video | | | 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 | | 丛书名称 | UNITEXT for Physics | | 图书封面 |  | | 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 | | 关键词 | Dynamical chaos theory; Applications of dynamical systems; Celestial mechanics; Centre Manifold; Poincar | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-25154-2 | | isbn_softcover | 978-3-031-25156-6 | | isbn_ebook | 978-3-031-25154-2Series ISSN 2198-7882 Series E-ISSN 2198-7890 | | issn_series | 2198-7882 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 16:17:22
