On the topological classification of structurally stable diffeomorphisms on 3-manifolds with a 2-dimensional expanding attractor
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Publication:2121924
DOI10.1134/S1995080222020081zbMath1496.37020OpenAlexW4226304909MaRDI QIDQ2121924
Evgeny Kruglov, Olga V. Pochinka, Vyacheslav Z. Grines
Publication date: 5 April 2022
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1995080222020081
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Generic properties, structural stability of dynamical systems (37C20) Stability theory for smooth dynamical systems (37C75) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)
Cites Work
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- Dynamical systems on 2- and 3-manifolds
- A proof of the \(C^ 1\) stability conjecture
- Structural stability of \(C^1\) diffeomorphisms
- 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 ORIENTABLE ATTRACTORS ON ANN-DIMENSIONAL TORUS
- On non-orientable two-dimensional basic sets on 3-manifolds
- On structurally stable diffeomorphisms with codimension one expanding attractors
- On embedding a Morse-Smale diffeomorphism on a 3-manifold in a topological flow
- THE TOPOLOGY OF BASIS SETS FOR SMALE DIFFEOMORPHISMS
- The Topological Classification of Diffeomorphisms of the Two-Dimensional Torus with an Orientable Attractor