The General Topology of Dynamical Systems

Introduction: Gradient systems Closed relations and their dynamic extensions Invariant sets and Lyapunov functions Attractors and basic sets Mappings--invariant subsets and transitivity concepts Computation of the chain recurrent set Chain recurrence and Lyapunov functions for flows Topologically robust properties of dynamical systems Invariant measures for mappings Examples--circles, simplex, and symbols Fixed points Hyperbolic sets and axiom A homeomorphisms Historical remarks References Subject index

Introduction: Gradient systems
Closed relations and their dynamic extensions
Invariant sets and Lyapunov functions
Attractors and basic sets Mappings–invariant subsets and transitivity concepts
Computation of the chain recurrent set
Chain recurrence and Lyapunov functions for flows
Topologically robust properties of dynamical systems
Invariant measures for mappings
Examples–circles, simplex, and symbols
Fixed points Hyperbolic sets and axiom a homeomorphisms Historical remarks
References
Subject index
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