Weak measure expansive flows

DOI10.1016/j.jde.2015.09.017zbMath1354.37031OpenAlexW2194323558MaRDI QIDQ890187

Jumi Oh, Keon-Hee Lee

Publication date: 9 November 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.09.017

zbMATH Keywords

Axiom Aflowsmeasure expansiveweak measurequasi-transversality condition

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems with hyperbolic orbits and sets (37D05) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (9)

\(\mathcal{F}\)-expansivity for Borel measures ⋮ Topological entropy for positively weak measure expansive shadowable maps ⋮ Weak measure expansivity of \(C^2\) dynamics ⋮ Spectral decomposition and \(\Omega\)-stability of flows with expanding measures ⋮ Robustly measure expansiveness for C¹ vector fields ⋮ Asymptotic measure expansive flows ⋮ Various expansive measures for flows ⋮ The dynamics of nonautonomous dynamical systems with the large deviations theorem ⋮ Symbolic topological dynamics in the circle

Cites Work

• Measure-expansive diffeomorphisms
• A note on measure-expansive diffeomorphisms
• Expansive measures for flows
• \(C^1\)-stably expansive flows
• Expansive one-parameter flows
• Vector fields with topological stability
• Partition's sensitivity for measurable maps
• ROBUSTLY SHADOWABLE CHAIN COMPONENTS OF C¹VECTOR FIELDS
• Ergodic measure-expansive diffeomorphisms
• The C¹ Closing Lemma, including Hamiltonians
• Expansive dynamics and hyperbolic geometry
• On measure expansive diffeomorphisms
• Unstable Homeomorphisms

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