The topological classification of structurally stable 3-diffeomorphisms with two-dimensional basic sets

DOI10.1088/0951-7715/28/11/4081zbMath1357.37029OpenAlexW2288196243MaRDI QIDQ3458802

Olga V. Pochinka, V. S. Medvedev, Yu Levchenko, Vyacheslav Z. Grines

Publication date: 23 December 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d3969d811e30563ede818f8dd14a5a3c8080c966

zbMATH Keywords

structural stabilitytopological classificationsurface basic set

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (9)

On the number of heteroclinic curves of diffeomorphisms with surface dynamics ⋮ Rough diffeomorphisms with basic sets of codimension one ⋮ Existence theorem for coverings of Serre bundles ⋮ There are no structural stable axiom a 3-diffeomorphisms with dynamics ``one-dimensional surfaced attractor-repeller ⋮ On a structure of non-wandering set of an \(\Omega\)-stable 3-diffeomorphism possessing a hyperbolic attractor ⋮ On partially hyperbolic diffeomorphisms and regular Denjoy type homeomorphisms ⋮ The constructing of energy functions for \(\Omega \)-stable diffeomorphisms on 2- and 3-manifolds ⋮ On hyperbolic attractors and repellers of endomorphisms ⋮ Dynamics of 3-homeomorphisms with two-dimensional attractors and repellers

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