eBook - PDF

Combinatorial Dynamics and Entropy in Dimension One

Name: Combinatorial Dynamics and Entropy in Dimension One
Author: Llu??s Alsed??, Jaume Llibre;Michal Misiurewicz;;

Llu??s Alsed??,

Jaume Llibre;Michal Misiurewicz;;,

432 pages
English
PDF
Available on iOS & Android

eBook - PDF

Combinatorial Dynamics and Entropy in Dimension One

Llu??s Alsed??,

Jaume Llibre;Michal Misiurewicz;;,

About this book

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.

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Yes, you can access Combinatorial Dynamics and Entropy in Dimension One by Llu??s Alsed??, Jaume Llibre;Michal Misiurewicz;; in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Chaotic Behavior in Systems. We have over one million books available in our catalogue for you to explore.