Combinatorial Dynamics and Entropy in Dimension One (2nd Edition) (Hardcover) (ISBN-13: 9789810240530)

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.

Author: Luis Alseda,Jaume Llibre,Michal Misiurewicz
ISBN-10: 9810240538
ISBN-13: 9789810240530
Publisher: World Scientific Publishing Company
Language: English
Published: 11/01/2000
Pages: 432
Format: Hardcover
Weight: 1.06lbs
Size: 8.84h x 6.31w x 1.13d

Review Citation(s):
Scitech Book News 06/01/2001 pg. 47