On the problem of topological classification of strange attractors of dynamical systems

DOI10.1070/RM2002V057N06ABEH000574zbMath1046.37017MaRDI QIDQ4816630

P. V. Plykin

Publication date: 10 September 2004

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

homeomorphismfoliationsSmale horseshoesKnaster continuaexpanding attractorsVietoris-van Dantzig solenoids

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamics induced by flows and semiflows (37C10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Foliations in differential topology; geometric theory (57R30) Morse-Smale systems (37D15)

Related Items (4)

Dynamical Systems with Nontrivially Recurrent Invariant Manifolds ⋮ How many different cascades on a surface can have coinciding hyperbolic attractors? ⋮ Strange attractors. Topologic, geometric and algebraic aspects ⋮ On the quasi-hyperbolic regime in a certain family of 2-D piecewise linear maps

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