Topological and symbolic dynamics
by Kurka, Petr
"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. Th…
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- Full title :Topological and symbolic dynamics / Petr Kůrka.
Summary
"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.
Read More ↓Edition Statements
- Publication Date:2003.
Publication Statements
- Publisher(s):Société Mathématique de France
- Place of Publication:Paris, France
- Language:eng
- Publication Date:2003.
The Physical Object
- Description:xii, 315 pages : : illustrations ; : 24 cm.
Edition Identifiers
- ISBN:2856291430, 9782856291436
- oclc:ocm55051160
- LC Classification:QA611.5
- Dewey Decimal:510
Table of Contents
Dynamical systems -- Topological dynamics -- Symbolic dynamics -- Minimal symbolic systems -- Cellular automata.
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