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lgli/dvd43/Jost J. - Dynamical Systems. Problems and Solutions(2005)(1st edition)(189).pdf
Dynamical Systems: Problems and Solutions 🔍
Jürgen Jost Springer Berlin, Universitext, 1, 2005
英语 [en] · PDF · 2.4MB · 2005 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/zlib · Save
描述
This book presents a survey of the field of dynamical systems and its significance for research in complex systems and other fields, based on a careful analysis of specific important examples. It also explains the fundamental underlying mathematical concepts, with a particular focus on invariants of dynamical systems, including a systematic treatment of Morse-Conley theory. Entropy and related concepts in the topological, metric, measure theoretic and smooth settings and some connections with information theory are discussed, and cellular automata and random Boolean networks are presented as specific examples.
备用文件名
lgrsnf/dvd43/Jost J. - Dynamical Systems. Problems and Solutions(2005)(1st edition)(189).pdf
备用文件名
nexusstc/Dynamical Systems: Problems and Solutions/85c081c3eb121bbc079ea617bb9cb1df.pdf
备用文件名
zlib/Mathematics/Jürgen Jost/Dynamical Systems: Problems and Solutions_488984.pdf
备选标题
Dynamical Systems: Examples of Complex Behaviour (Universitext)
备选作者
Jost, Jürgen
备选作者
Jurgen Jost
备用出版商
Springer Spektrum. in Springer-Verlag GmbH
备用出版商
Steinkopff. in Springer-Verlag GmbH
备用版本
Universitext, Berlin ; New York, ©2005
备用版本
1 edition, September 12, 2005
备用版本
Berlin, United States, 2005
备用版本
Germany, Germany
备用版本
2005, PT, 2005
元数据中的注释
mexmat -- 43
元数据中的注释
lg56602
元数据中的注释
{"edition":"1","isbns":["3540229086","9783540229087"],"last_page":198,"publisher":"Springer","series":"Universitext"}
备用描述
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, butitturnsoutthatmanyoftheconceptstobeintroducedareusefulineither case.
Erscheinungsdatum: 01.08.2005
备用描述
"This book presents a survey of the field of dynamical systems and its significance for research in complex systems and other fields, based on a careful analysis of specific important examples. It also explains the fundamental underlying mathematical concepts, with a particular focus on invariants of dynamical systems, including a systematic treatment of Morse-Conley theory. Entropy and related concepts in the topological, metric, measure theoretic and smooth settings and some connections with information theory are discussed, and cellular automata and random Boolean networks are presented as specific examples."--Jacket
备用描述
Breadth of scope is unique Author is a widely-known and successful textbook author Unlike many recent textbooks on chaotic systems that have superficial treatment, this book provides explanations of the deep underlying mathematical ideas No technical proofs, but an introduction to the whole field that is based on the specific analysis of carefully selected examples Includes a section on cellular automata
开源日期
2009-07-20
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