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- catalog abstract ""A dynamical system is a continuous self-map of a compact metric space. Topological dynamics studies the iterations of such a map, or equivalently the trajectories of points of the state space. The basic concepts of topological dynamics are: minimality, transitivity, recurrence, shadowing property, stability, equicontinuity, sensitivity, attractors and topological entropy. Symbolic dynamics studies dynamical systems whose state spaces are zero-dimensional and consist of sequences of symbols. The main classes of symbolic dynamical systems are: adding machines, subshifts of finite type, sofic subshifts, Sturman, substitutive and Toeplitz subshifts, and cellular automata."--Jacket.".
- catalog contributor b13298986.
- catalog created "c2003.".
- catalog date "2003".
- catalog date "c2003.".
- catalog dateCopyrighted "c2003.".
- catalog description ""A dynamical system is a continuous self-map of a compact metric space. Topological dynamics studies the iterations of such a map, or equivalently the trajectories of points of the state space. The basic concepts of topological dynamics are: minimality, transitivity, recurrence, shadowing property, stability, equicontinuity, sensitivity, attractors and topological entropy. Symbolic dynamics studies dynamical systems whose state spaces are zero-dimensional and consist of sequences of symbols. The main classes of symbolic dynamical systems are: adding machines, subshifts of finite type, sofic subshifts, Sturman, substitutive and Toeplitz subshifts, and cellular automata."--Jacket.".
- catalog description "Dynamical systems -- Topological dynamics -- Symbolic dynamics -- Minimal symbolic systems -- Cellular automata.".
- catalog description "Includes bibliographical references (p. [297]-306) and index.".
- catalog extent "xii, 315 p. :".
- catalog hasFormat "Topological and symbolic dynamics.".
- catalog identifier "2856291430".
- catalog isFormatOf "Topological and symbolic dynamics.".
- catalog isPartOf "Collection SMF. Cours spécialisés ; no 11.".
- catalog isPartOf "Cours spécialisés, 1284-6090 ; no 11".
- catalog issued "2003".
- catalog issued "c2003.".
- catalog language "eng".
- catalog publisher "Paris, France : Société mathématique de France,".
- catalog relation "Topological and symbolic dynamics.".
- catalog subject "QA611.5 .K865 2003".
- catalog subject "Symbolic dynamics.".
- catalog subject "Topological dynamics.".
- catalog tableOfContents "Dynamical systems -- Topological dynamics -- Symbolic dynamics -- Minimal symbolic systems -- Cellular automata.".
- catalog title "Topological and symbolic dynamics / Petr Kůrka.".
- catalog type "text".