On a topological classification of diffeomorphisms on 3-manifolds with two-dimensional surface attractors and repellers

DOI10.1134/S1064562412060075zbMath1283.37039OpenAlexW2080204679MaRDI QIDQ1945219

Yu. A. Levchenko, Vyacheslav Z. Grines

Publication date: 3 April 2013

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

Full work available at URL: https://doi.org/10.1134/s1064562412060075

zbMATH Keywords

structural stabilityconjugate diffeomorphismSmale's spectral theorem

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)

Cites Work

• Nonexpanding attractors: conjugacy to algebraic models and classification in 3-manifolds
• On surface attractors and repellers in 3-manifolds
• On structurally stable diffeomorphisms with codimension one expanding attractors
• Differentiable dynamical systems

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