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Titlebook: Concepts and Results in Chaotic Dynamics: A Short Course; Pierre Collet,Jean-Pierre Eckmann Textbook 2006 Springer-Verlag Berlin Heidelber

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書目名稱Concepts and Results in Chaotic Dynamics: A Short Course
編輯Pierre Collet,Jean-Pierre Eckmann
視頻videohttp://file.papertrans.cn/235/234908/234908.mp4
概述Includes supplementary material:
叢書名稱Theoretical and Mathematical Physics
圖書封面Titlebook: Concepts and Results in Chaotic Dynamics: A Short Course;  Pierre Collet,Jean-Pierre Eckmann Textbook 2006 Springer-Verlag Berlin Heidelber
描述This book is devoted to the subject commonly called Chaotic Dynamics, namely the study of complicated behavior in time of maps and ?ows, called dynamical systems. The theory of chaotic dynamics has a deep impact on our understanding of - ture, and we sketch here our view on this question. The strength of this theory comes from its generality, in that it is not limited to a particular equation or scienti?c - main. It should be viewed as a conceptual framework with which one can capture properties of systems with complicated behavior. Obviously, such a general fra- work cannot describe a system down to its most intricate details, but it is a useful and important guideline on how a certain kind of complex systems may be understood and analyzed. The theory is based on a description of idealized systems, such as “hyperbolic” systems. The systems to which the theory applies should be similar to these idealized systems. They should correspond to a ?xed evolution equation, which, however, need to be neither modeled nor explicitly known in detail. Experimentally, this means that the conditions under which the experiment is performed should be as constant as possible. The same condition appl
出版日期Textbook 2006
關鍵詞Invariant; dynamical systems; ergodic theory; hyperbolic dynamics; proof; statistical properties
版次1
doihttps://doi.org/10.1007/978-3-540-34706-4
isbn_softcover978-3-642-42115-0
isbn_ebook978-3-540-34706-4Series ISSN 1864-5879 Series E-ISSN 1864-5887
issn_series 1864-5879
copyrightSpringer-Verlag Berlin Heidelberg 2006
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978-3-642-42115-0Springer-Verlag Berlin Heidelberg 2006
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Concepts and Results in Chaotic Dynamics: A Short Course978-3-540-34706-4Series ISSN 1864-5879 Series E-ISSN 1864-5887
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Outline of the CMEA Game-theoretic DesignWhile we assume some familiarity with elementary mechanics, we begin here with the nonlinear pendulum in 1 dimension, to have some basis of discussion of phase space and the like.
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