Dynamical Systems, Graphs, and Algorithms

Paperback Engels 2006 2007e druk 9783540355939
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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.

Specificaties

ISBN13:9783540355939
Taal:Engels
Bindwijze:paperback
Aantal pagina's:288
Uitgever:Springer Berlin Heidelberg
Druk:2007

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Inhoudsopgave

Symbolic Image.- Periodic Trajectories.- Newton's Method.- Invariant Sets.- Chain Recurrent Set.- Attractors.- Filtration.- Structural Graph.- Entropy.- Projective Space and Lyapunov Exponents.- Morse Spectrum.- Hyperbolicity and Structural Stability.- Controllability.- Invariant Manifolds.- Ikeda Mapping Dynamics.- A Dynamical System of Mathematical Biology.

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€ 54,94
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        Dynamical Systems, Graphs, and Algorithms