The Topological Classification of Diffeomorphisms of the Two-Dimensional Torus with an Orientable Attractor

DOI10.20537/nd200405zbMath1464.37031OpenAlexW3115930622MaRDI QIDQ5853579

Evgeny Kruglov, Olga V. Pochinka, Vyacheslav Z. Grines

Publication date: 11 March 2021

Published in: Nelineinaya Dinamika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/nd731

zbMATH Keywords

topological classificationorientable attractordiffeomorphisms of torus

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) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (1)

On the topological classification of structurally stable diffeomorphisms on 3-manifolds with a 2-dimensional expanding attractor

Cites Work

• Dynamical systems on 2- and 3-manifolds
• A proof of the \(C^ 1\) stability conjecture
• Structural stability of \(C^1\) diffeomorphisms
• On non-orientable two-dimensional basic sets on 3-manifolds
• Structurally stable diffeomorphisms with basis sets of codimension one
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