topological and symbolic dynamics
Publisher: EDP SCIENCES
Published: Oct 25, 2007
Format: paperback
Number of pages: 315
ISBN-13: 9782856291436
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.
Notes: Source title: topological and symbolic dynamics (COURS SPECIALS)