eBook: Combinatorial Dynamics And Entropy In Dimension One (2nd Edition) (DRM PDF)
 
電子書格式: DRM PDF
作者: Alseda Luis Alseda, Llibre Jaume Llibre, Misiurewicz Michal Misiurewicz 
系列: Advanced Series In Nonlinear Dynamics
分類: Combinatorics & graph theory ,
Nonlinear science ,
Mathematical physics  
書城編號: 22513963


售價: $507.00

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製造商: World Scientific Publishing Company
出版日期: 2000/10/31
頁數: 432
ISBN: 9789813105591
 
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商品簡介
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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