The specification property for flows from the robust and generic viewpoint

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

zbMATH Keywords

topological mixingweak specification propertyAnsov flows

Mathematics Subject Classification ID

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

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• An Improved Closing Lemma and a General Density Theorem
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• What's new on Lorenz strange attractors?

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