[PDF.42wd] Dynamical Systems, Graphs, and Algorithms (Lecture Notes in Mathematics)

Dynamical Systems, Graphs, and Algorithms (Lecture Notes in Mathematics)

[PDF.xa37] Dynamical Systems, Graphs, and Algorithms (Lecture Notes in Mathematics)

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 | #12242729 in Books |  2006-11-16 |  2006-11-16 | Original language:English | PDF # 1 |  9.25 x.69 x6.10l,1.10 | File type: PDF | 288 pages

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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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