The specification property for flows from the robust and generic viewpoint
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Publication:441232
DOI10.1016/J.JDE.2012.05.022zbMath1312.37014arXiv1101.3445OpenAlexW2963068490MaRDI QIDQ441232
Alexander Arbieto, Laura Senos, Tatiana Sodero
Publication date: 20 August 2012
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1101.3445
Dynamics induced by flows and semiflows (37C10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Generic properties, structural stability of dynamical systems (37C20)
Related Items (19)
Generic diffeomorphisms with weak limit shadowing ⋮ Eventual shadowing for chain transitive sets of $C^1$ generic dynamical systems ⋮ Orbital shadowing property for generic divergence-free vector fields ⋮ Vector fields satisfying the barycenter property ⋮ Specification and partial hyperbolicity for flows ⋮ Expansive homoclinic classes of generic \(C^{1}\)-vector fields ⋮ Vector fields with the asymptotic orbital pseudo-orbit tracing property ⋮ Vector fields with stably limit shadowing ⋮ Unnamed Item ⋮ Flows with ergodic pseudo orbit tracing property ⋮ Unnamed Item ⋮ Hamiltonian systems with orbital, orbital inverse shadowing ⋮ The gluing orbit property, uniform hyperbolicity and large deviations principles for semiflows ⋮ Partial hyperbolicity and specification ⋮ Unnamed Item ⋮ Unnamed Item ⋮ CHAIN COMPONENTS WITH THE STABLE SHADOWING PROPERTY FOR C1 VECTOR FIELDS ⋮ Hyperbolicity through stable shadowing for generic geodesic flows ⋮ On shadowing and hyperbolicity for geodesic flows on surfaces
Cites Work
- Unnamed Item
- Unnamed Item
- Connecting invariant manifolds and the solution of the \(C^ 1\) stability and \(\Omega\)-stability conjectures for flows
- Structural stability on two-dimensional manifolds
- Lorenz attractors do not have the pseudo-orbit tracing property
- Indices of singularities of robustly transitive sets
- On \(C^1\)-robust transitivity of volume-preserving flows
- Structural stability of Lorenz attractors
- Equivalence of Gibbs and equilibrium states for homeomorphisms satisfying expansiveness and specification
- Ergodic theory on compact spaces
- Contributions to the stability conjecture
- A \(C^1\)-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks of sources
- Robust transitive singular sets for 3-flows are partially hyperbolic attractors or repellers
- Generic Bowen-expansive flows
- Nonsingular star flows satisfy Axiom A and the no-cycle condition
- Vector fields with topological stability
- Hyperbolicity in the volume-preserving scenario
- Stability properties of divergence-free vector fields
- The C1 Closing Lemma, including Hamiltonians
- Diffeomorphisms satisfying the specification property
- Three-Dimensional Flows
- A sectional-Anosov connecting lemma
- Sectional-hyperbolic systems
- Some systems with unique equilibrium states
- Flows with Unique Equilibrium States
- 𝐶¹ Connecting Lemmas
- A pasting lemma and some applications for conservative systems
- An Improved Closing Lemma and a General Density Theorem
- Differentiable dynamical systems
- Periodic Points and Measures for Axiom a Diffeomorphisms
- What's new on Lorenz strange attractors?
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