Structurally stable diffeomorphisms with basis sets of codimension one

DOI10.1070/IM2002v066n02ABEH000378zbMath1017.37010OpenAlexW2081837723WikidataQ125636135 ScholiaQ125636135MaRDI QIDQ4804395

Vyacheslav Z. Grines, Evgeny Zhuzhoma

Publication date: 18 August 2003

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

Full work available at URL: https://doi.org/10.1070/im2002v066n02abeh000378

zbMATH Keywords

spectral decompositiontopological structurecharacteristic spheresexpanding attractorhomotopical structure\(n\)-dimensional manifoldlamination theorycontracting repellercovering manifoldstructural stable diffeomorphismcarrying manifoldconnecting cylindersdiffeomorphisms of codimension oneorientable basis sets

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) Periodic orbits of vector fields and flows (37C27) Generic properties, structural stability of dynamical systems (37C20)

Related Items (8)

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 a structure of non-wandering set of an \(\Omega\)-stable 3-diffeomorphism possessing a hyperbolic attractor ⋮ On hyperbolic attractors and repellers of endomorphisms ⋮ The construction of an energy function for three-dimensional cascades with a two-dimensional expanding attractor ⋮ On embedding of arcs and circles in 3-manifolds and its application to dynamics of structurally stable 3-diffeomorhisms with two-dimensional expanding attractors ⋮ The Topological Classification of Diffeomorphisms of the Two-Dimensional Torus with an Orientable Attractor ⋮ On interrelations between trivial and nontrivial basic sets of structurally stable diffeomorphisms of surfaces

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