THE TOPOLOGICAL CLASSIFICATION OF ORIENTABLE ATTRACTORS ON ANN-DIMENSIONAL TORUS

DOI10.1070/RM1979V034N04ABEH002974zbMath0464.58013OpenAlexW2055368345MaRDI QIDQ3915679

Evgeny Zhuzhoma, Vyacheslav Z. Grines

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1070/rm1979v034n04abeh002974

zbMATH Keywords

periodic pointaxiom Abasic setunstable manifoldsdiffeomorphism of the n-dimensional torusorientable attractor of codimension 1eigenvalues of the automorphism induced on the first homology grouptopological classification of orientable attractors on an n-dimensional torus

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems with hyperbolic behavior (37D99)

Related Items (11)

On the topological classification of structurally stable diffeomorphisms on 3-manifolds with a 2-dimensional expanding attractor ⋮ 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 partially hyperbolic diffeomorphisms and regular Denjoy type homeomorphisms ⋮ Smale regular and chaotic A-homeomorphisms and A-diffeomorphisms ⋮ On local structure of one-dimensional basic sets of non-reversible A-endomorphisms of surfaces ⋮ Quasi-Anosov diffeomorphisms of 3-manifolds ⋮ Classification of one-dimensional expanding attractors ⋮ Cantor Type Basic Sets of Surface $A$-endomorphisms

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