Combinatorial Dynamics And Entropy In Dimension One (Advanced Series In Nonlinear Dynamics, V. 5) - Lluis Alseda (2001)
ISBN 9789810240530
Subject Combinatorial dynamics; Entropy; Mappings (Mathematics)
Publisher World Scientific Publishing Company
Publication Date February 2001
Format Hardcover (230 x 160 mm)
Language English
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.
Personal Details
Collection Status In Collection
Index 2203
Read It Yes
Library of Congress
Product Details
LoC Classification QA611.5 .A46 2000 Copy
Dewey 514.322
Cover Price $76.00
No. of Pages 415