topological and symbolic dynamics
Kupka p. · 2007
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"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.
Book details
- Year
- 2007
- Language
- English
- Publisher
- EDP SCIENCES
- Editions
- 1
- Pages
- 315
- ISBN
- 9782856291436
Data source: Wikidata