Combinatorial Dynamics And Entropy In Dimension One (2nd Edition)

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.

Produktdetails

• Autoren: Luis Alseda, Jaume Llibre, Llibre Jaume, Michal Misiurewicz, Misiurewicz Michal
• Verlag: Ingram Publishers Services
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 01.11.2000
• EAN: 9789810240530
• ISBN: 978-981-02-4053-0
• Serien: Advanced Series in Nonlinear Dynamics; Advanced Nonlinear Dynamics
• Themen: Naturwissenschaften, Medizin, Informatik, Technik > Physik, Astronomie > Allgemeines, Lexika; MATHEMATICS / Linear & Nonlinear Programming, MATHEMATICS / Combinatorics, Combinatorics & graph theory, Nonlinear science, Combinatorics and graph theory