Scenario of a simple transition from a structurally stable 3-diffeomorphism with a two-dimensional expanding attractor to a DA diffeomorphism
DOI10.1134/S0081543820010113zbMath1445.37018OpenAlexW3032632537MaRDI QIDQ2185577
Evgeny Kruglov, Olga V. Pochinka, Vyacheslav Z. Grines
Publication date: 5 June 2020
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0081543820010113
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Bifurcations of singular points in dynamical systems (37G10) Generic properties, structural stability of dynamical systems (37C20) Dynamical aspects of attractors and their bifurcations (37G35) Stability theory for smooth dynamical systems (37C75) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)
Cites Work
- Unnamed Item
- Unnamed Item
- Dynamical systems on 2- and 3-manifolds
- A mildly wild imbedding of an \(n\)-frame
- A proof of the \(C^ 1\) stability conjecture
- Structural stability of \(C^1\) diffeomorphisms
- On the structure of the group of equivariant diffeomorphisms
- On structurally stable diffeomorphisms with expanding attractors or contracting repellers of codimension one.
- Knots as topological invariants for gradient-like diffeomorphisms of the sphere \(S^3\)
- Rough diffeomorphisms with basic sets of codimension one
- On the typical diffeotopy of a structurally stable diffeomorphism with an expanding attractor of codimension one.
- On embedding of arcs and circles in 3-manifolds and its application to dynamics of structurally stable 3-diffeomorhisms with two-dimensional expanding attractors
- Neighborhoods of hyperbolic sets
- Some wild cells and spheres in three-dimensional space
- THE TOPOLOGICAL CLASSIFICATION OF ORIENTABLE ATTRACTORS ON ANN-DIMENSIONAL TORUS
- On non-orientable two-dimensional basic sets on 3-manifolds
- Structurally stable diffeomorphisms with basis sets of codimension one
- On structurally stable diffeomorphisms with codimension one expanding attractors
- On embedding a Morse-Smale diffeomorphism on a 3-manifold in a topological flow
- Differentiable dynamical systems
- Necessary Conditions for Stability of Diffeomorphisms
- Obstructions to the smoothing of piecewise-differentiable homeomorphisms
