| 書目名稱 | Dynamical Systems | | 副標題 | Examples of Complex | | 編輯 | Jürgen Jost | | 視頻video | http://file.papertrans.cn/284/283853/283853.mp4 | | 概述 | Breadth of scope is unique.Unlike many recent textbooks on chaotic systems no superficial treatment but explanations of the deep underlying mathematical ideas.No technical proofs but an introduction t | | 叢書名稱 | Universitext | | 圖書封面 |  | | 描述 | Our aim is to introduce, explain, and discuss the fundamental problems, ideas, concepts, results, and methods of the theory of dynamical systems and to show how they can be used in speci?c examples. We do not intend to give a comprehensive overview of the present state of research in the theory of dynamical systems, nor a detailed historical account of its development. We try to explain the important results, often neglecting technical re?nements 1 and, usually, we do not provide proofs. One of the basic questions in studying dynamical systems, i.e. systems that evolve in time, is the construction of invariants that allow us to classify qualitative types of dynamical evolution, to distinguish between qualitatively di?erent dynamics, and to studytransitions between di?erent types. Itis also important to ?nd out when a certain dynamic behavior is stable under small perturbations, as well as to understand the various scenarios of instability. Finally, an essential aspect of a dynamic evolution is the transformation of some given initial state into some ?nal or asymptotic state as time proceeds. Thetemporalevolutionofadynamicalsystemmaybecontinuousordiscrete, butitturnsoutthatmanyofthe | | 出版日期 | Textbook 2005 | | 關鍵詞 | Cellular Automata; Chaos; Dynamical Invariants; Entropy; Stability of dynamical systems; automata; informa | | 版次 | 1 | | doi | https://doi.org/10.1007/3-540-28889-9 | | isbn_softcover | 978-3-540-22908-7 | | isbn_ebook | 978-3-540-28889-3Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer-Verlag Berlin Heidelberg 2005 |
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