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Dynamical Systems, Graphs and Algorithms

Lecture Notes in Mathematics 1889

Erschienen am 06.11.2006, 1. Auflage 2006
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ISBN/EAN: 9783540355939
Sprache: Englisch
Umfang: xii, 288 S.
Einband: kartoniertes Buch

Beschreibung

Describes a family of algorithms for studying the global structure of systems Introduces Symbolic dynamics as a tool for investigating complicated phenomena such as chaos and strange attractors Opens the way to considerable information, and more techniques may emerge

Inhalt

Introduction.- 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.- Double Logistic Map.- Symbolic Image Implementation.- Bibliography.