Recent progress on sectional-hyperbolic systems
From MaRDI portal
Publication:3462332
DOI10.1080/14689367.2015.1056093zbMath1357.37047OpenAlexW2267537393MaRDI QIDQ3462332
Serafin Bautista, Carlos A. Morales
Publication date: 5 January 2016
Published in: Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14689367.2015.1056093
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Partially hyperbolic systems and dominated splittings (37D30)
Related Items (5)
On the notions of singular domination and (multi-)singular hyperbolicity ⋮ Sectional-hyperbolic Lyapunov stable sets ⋮ Entropy theory for sectional hyperbolic flows ⋮ Robust transitivity of singular hyperbolic attractors ⋮ The dynamics of vector fields with singularities
Cites Work
- Unnamed Item
- Unnamed Item
- Topological properties of sectional-Anosov flows
- An improved sectional-Anosov closing Lemma
- On the sensitivity of sectional-Anosov flows
- Sectional-Anosov flows
- Singular-hyperbolic attractors with handlebody basins
- Characterizing omega-limit sets which are closed orbits
- On the intersection of homoclinic classes on singular-hyperbolic sets
- Chaos theory yesterday, today and tomorrow
- Stability of singular horseshoes
- Sensitive dependence to initial conditions for one dimensional maps
- Structural stability of Lorenz attractors
- Sufficient conditions for robustness of attractors
- A note on periodic orbits for singular-hyperbolic flows
- On the density of singular hyperbolic three-dimensional vector fields: a conjecture of Palis
- Lyapunov stability and sectional-hyperbolicity for higher-dimensional flows
- Strong stable manifolds for sectional-hyperbolic sets
- Sectional-Anosov flows on certain compact 3-manifolds
- Dynamical properties of singular-hyperbolic attractors
- Robustly transitive singular sets via approach of an extended linear Poincaré flow
- Examples of singular-hyperbolic attracting sets
- Three-Dimensional Flows
- Sensitive dependence on initial conditions and chaotic group actions
- Sectional-hyperbolic systems
- Singular-hyperbolic attractors are chaotic
- On Devaney's Definition of Chaos
- On C1 robust singular transitive sets for three-dimensional flows
- Singular hyperbolic systems
- Attracteurs de Lorenz de variété instable de dimension arbitraire
- Global attractors from the explosion of singular cycles
- A dichotomy for three-dimensional vector fields
- Lineare 2‐normierte Räume
This page was built for publication: Recent progress on sectional-hyperbolic systems
