On structurally stable diffeomorphisms with expanding attractors or contracting repellers of codimension one.

zbMath1041.37009MaRDI QIDQ1432396

Evgeny Zhuzhoma, Vyacheslav Z. Grines

Publication date: 15 June 2004

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

conjugacytopological classificationexpanding attractorrough diffeomorphismunderlying manifold

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Generic properties, structural stability of dynamical systems (37C20)

Related Items (9)

Dynamical Systems with Nontrivially Recurrent Invariant Manifolds ⋮ On structurally stable diffeomorphisms with codimension one expanding attractors ⋮ Rough diffeomorphisms with basic sets of codimension one ⋮ Scenario of a simple transition from a structurally stable 3-diffeomorphism with a two-dimensional expanding attractor to a DA diffeomorphism ⋮ On surface attractors and repellers in 3-manifolds ⋮ Classification of one-dimensional expanding attractors ⋮ Necessary and sufficient conditions for the conjugacy of Smale regular homeomorphisms ⋮ Cantor Type Basic Sets of Surface $A$-endomorphisms ⋮ On the existence of codimension-one nonorientable expanding attractors

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