Classification of one-dimensional attractors of diffeomorphisms of surfaces by means of pseudo-Anosov homeomorphisms

DOI10.1134/S1064562419020066zbMath1416.37032OpenAlexW2947090933MaRDI QIDQ2313244

E. D. Kurenkov, Vyacheslav Z. Grines

Publication date: 18 July 2019

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

Full work available at URL: https://doi.org/10.1134/s1064562419020066

zbMATH Keywords

pseudo-Anosov homeomorphismnonwandering setaxiom A diffeomorphisms

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) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)

Related Items (1)

Diffeomorphisms of 2-manifolds with one-dimensional spaciously situated basic sets

Cites Work

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• Topological classification of one-dimensional attractors and repellers of \(A\)-diffeomorphisms of surfaces by means of automorphisms of fundamental groups of supports
• On topological classification of \(A\)-diffeomorphisms of surfaces
• On the relationship between one-dimensional hyperbolic attractors of surface diffeomorphisms and generalized pseudo-Anosov diffeomorphisms
• Thurston's Work on Surfaces (MN-48)
• SOURCES AND SINKS OFA-DIFFEOMORPHISMS OF SURFACES
• Differentiable dynamical systems
• THE TOPOLOGY OF BASIS SETS FOR SMALE DIFFEOMORPHISMS

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