Measure expansive flows for the generic view point

DOI10.1080/10236198.2016.1172573zbMath1470.37048OpenAlexW2336278275MaRDI QIDQ4991999

Jumi Oh, Manseob Lee

Publication date: 4 June 2021

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2016.1172573

zbMATH Keywords

expansive measureexpansive flowhomoclinic classes

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

Robustly measure expansiveness for C¹ vector fields, Asymptotic measure expansive flows, Unnamed Item

Cites Work

• Unnamed Item
• Connecting invariant manifolds and the solution of the \(C^ 1\) stability and \(\Omega\)-stability conjectures for flows
• Homoclinic bifurcations and uniform hyperbolicity for three-dimensional flows.
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• Generic Bowen-expansive flows
• Measure-expansive diffeomorphisms
• Expansive measures for flows
• Nonsingular star flows satisfy Axiom A and the no-cycle condition
• Expansive one-parameter flows
• Vector fields with topological stability
• ROBUST HETERODIMENSIONAL CYCLES AND $C^1$-GENERIC DYNAMICS
• Expansive homoclinic classes
• Generic diffeomorphisms with measure-expansive homoclinic classes
• Unstable Homeomorphisms
• Recurrence and genericity