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Dynamical Systems: Problems and Solutions

✍ Scribed by Jürgen Jost

Publisher
Springer
Year
2005
Tongue
English
Leaves
198
Series
Universitext
Edition
1
Category
Library
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✦ Synopsis

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.

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