Combinational Dynamics And Entropy In Dimension One; Author: Alseda, Lluis; Joint Author: Llibre, Jaume; Hardback; Book

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Combinational Dynamics And Entropy In Dimension One

Author: Alseda, Lluis; Joint Author: Llibre, Jaume
Edition #2 Series#:5; Advanced Series in Nonlinear Dynamics (Paperback); Hardback; Book
432 pages
Published: November 2000
World Scientific Publishing Co Pte Ltd
ISBN: 9810240538

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 entropyis used. The book analyzes the combinatorial dynamics and topological entropy for the continuous maps of either an interval or the circle into itself.An introduction to the two main directions of one-dimensional dynamics. It analyzes the combinatorial dynamics and topological entropy for the continuous maps of either an interval or the circle into itself.

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