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Item Details
Title:
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COMBINATORIAL DYNAMICS AND ENTROPY IN DIMENSION ONE (2ND EDITION)
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By: |
Michal Misiurewicz |
Format: |
Hardback |
List price:
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£97.00 |
We currently do not stock this item, please contact the publisher directly for
further information.
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ISBN 10: |
9810240538 |
ISBN 13: |
9789810240530 |
Publisher: |
WORLD SCIENTIFIC PUBLISHING CO PTE LTD |
Pub. date: |
1 November, 2000 |
Edition: |
e |
Series: |
Advanced Series in Nonlinear Dynamics 5 |
Pages: |
432 |
Description: |
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. |
Synopsis: |
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. |
Publication: |
Singapore |
Imprint: |
World Scientific Publishing Co Pte Ltd |
Returns: |
Returnable |
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