The general topology of dynamical systems / Ethan Akin.

Por: Akin, Ethan, 1946-Series Graduate studies in mathematics, v. 1Editor: Providence, R.I. : American Mathematical Society, c1993Descripción: x, 261 p. : il. ; 27 cmISBN: 0821838008Tema(s): Differentiable dynamical systems | Topological dynamicsOtra clasificación: 58Fxx (34C35 54H20 58F12 58F15)
Contenidos:
Capítulos: 0. Introduction: Gradient systems1. Closed relations and their dynamic extensions2. Invariant sets and Lyapunov functions3. Attractors and basic sets4. Mappings: invariant subsets and transitivity concepts5. Computation of the chain recurrent set6. Chain recurrence and Lyapunov functions for flows7. Topologically robust properties of dynamical systems8. Invariant measures for mappings9. Examples: circles, simplex, and symbols10. Fixed points11. Hyperbolic sets and Axiom A homeomorphisms.
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Item type Home library Shelving location Call number Materials specified Copy number Status Date due Barcode
Libros Libros Instituto de Matemática, CONICET-UNS
Libros ordenados por tema 37 Ak315 (Browse shelf) Available A-7332
Libros Libros Instituto de Matemática, CONICET-UNS
Libros ordenados por tema 37 Ak315 (Browse shelf) Ej. 2 Available A-7428

Incluye referencias bibliográficas (p. 255-258) e índice.

Capítulos: 0. Introduction: Gradient systems -- 1. Closed relations and their dynamic extensions -- 2. Invariant sets and Lyapunov functions -- 3. Attractors and basic sets -- 4. Mappings: invariant subsets and transitivity concepts -- 5. Computation of the chain recurrent set -- 6. Chain recurrence and Lyapunov functions for flows -- 7. Topologically robust properties of dynamical systems -- 8. Invariant measures for mappings -- 9. Examples: circles, simplex, and symbols -- 10. Fixed points -- 11. Hyperbolic sets and Axiom A homeomorphisms.

MR, 94f:58041

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