The construction of an energy function for three-dimensional cascades with a two-dimensional expanding attractor
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Publication:2788927
DOI10.1090/mosc/249zbMath1359.37068OpenAlexW2234961835MaRDI QIDQ2788927
Olga V. Pochinka, M. K. Noskova, Vyacheslav Z. Grines
Publication date: 23 February 2016
Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/mosc/249
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)
Related Items (6)
Dynamical properties of direct products of discrete dynamical systems ⋮ On existence of an energy function for \(\Omega\)-stable surface diffeomorphisms ⋮ Rough diffeomorphisms with basic sets of codimension one ⋮ Dynamics of three-dimensional A-diffeomorphisms with two-dimensional attractors and repellers ⋮ The constructing of energy functions for \(\Omega \)-stable diffeomorphisms on 2- and 3-manifolds ⋮ Existence of an energy function for three-dimensional chaotic “sink-source” cascades
Cites Work
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- Quasi-energy function for diffeomorphisms with wild separatrices
- Dynamically ordered energy function for Morse-Smale diffeomorphisms on 3-manifolds
- Structurally stable systems
- A proof of the \(C^ 1\) stability conjecture
- Structural stability of \(C^1\) diffeomorphisms
- Wild unstable manifolds
- On gradient dynamical systems
- Lyapunov functions and isolating blocks
- Some wild cells and spheres in three-dimensional space
- Self-indexing energy function for Morse-Smale diffeomorphisms on 3-manifolds
- Morse Theory. (AM-51)
- 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
- Differentiable dynamical systems
- Energy Functions for Morse Smale Systems
- Invariant manifolds
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