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Dynamical Systems, Graphs, and Algorithms
Paperback
Series: Lecture Notes in Mathematics, Book 1889
ISBN13: 9783540355939
Publisher: Springer Pg
Published: Nov 6 2006
Pages: 288
Weight: 0.96
Height: 0.46 Width: 6.28 Depth: 9.28
Language: English
This book describes a family of algorithms for studying the global structure of systems. By a finite covering of the phase space we construct a directed graph with vertices corresponding to cells of the covering and edges corresponding to admissible transitions. The method is used, among other things, to locate the periodic orbits and the chain recurrent set, to construct the attractors and their basins, to estimate the entropy, and more.
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