Combinatorial Dynamics and Entropy in Dimension One (Advanced Series in Nonlinear Dynamics, V. 5)

Alseda, Lluis; Llibre, Jaume; Misiurewicz, Michal

Published by World Scientific Pub Co Inc, 2001
ISBN 10: 9810240538 / ISBN 13: 9789810240530
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Synopsis: This book introduces the reader to the two main directions of one-dimensional dynamics. The first has its roots in the Sharkovskii theorem, which describes the possible sets of periods of all cycles (periodic orbits) of a continuous map of an interval into itself. The whole theory, which was developed based on this theorem, deals mainly with combinatorial objects, permutations, graphs, etc.; it is called combinatorial dynamics. The second direction has its main objective in measuring the complexity of a system, or the degree of “chaos” present in it; for that the topological entropy is used. The book analyzes the combinatorial dynamics and topological entropy for the continuous maps of either an interval or the circle into itself.

Review: "As a whole, the book is carefully written and contains a very detailed account of a body of material along with some new results. The book will serve as a valuable reference for those interested in the combinatorial aspects of one-dimensional dynamical systems." A Quas Mathematics Abstracts

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Title: Combinatorial Dynamics and Entropy in ...
Publisher: World Scientific Pub Co Inc
Publication Date: 2001
Binding: Hardcover
Book Condition: Used: Good

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Book Description World Scientific Publishing Co Pte Ltd. Hardback. Book Condition: new. BRAND NEW, Combinatorial Dynamics and Entropy in Dimension One (2nd edition), Lluis Alseda, Jaume Llibre, Micha Misiurewicz, An introduction to the two main directions of one-dimensional dynamics. The first has its roots in the Sharkovskii theorem, which describes the possible sets of periods of all cycles (periodic orbits) of a continuous map of an interval into itself. The whole theory, which was developed based on this theorem, deals mainly with combinatorial objects, permutations, graphs, and more; it is called combinatorial dynamics. The second direction has its main objective in measuring the complexity of a system, or the degree of "chaos" present in it; for that the topological entropy is used. The book analyzes the combinatorial dynamics and topological entropy for the continuous maps of either an interval or the circle into itself. Bookseller Inventory # B9789810240530

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Alseda, Ll;Llibre, Jaume;Alseda, Lluis;Misiurewicz, Michal
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