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

Released on by Luis Alseda
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  • Combinatorial Dynamics And Entropy In Dimension One (2nd Edition) Book Detail

  • Author : Luis Alseda
  • Release Date : 2000-10-31
  • Publisher : World Scientific Publishing Company
  • Genre : Science
  • Pages : 433
  • ISBN 13 : 9813105593
  • File Size : 10,10 MB
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Combinatorial Dynamics And Entropy In Dimension One (2nd Edition) by Luis Alseda PDF Summary

Book Description: 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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