Vector fields with topological stability

DOI10.1090/S0002-9947-01-02748-9zbMath1097.37501MaRDI QIDQ2716144

Kazuhiro Sakai, Kazumine Moriyasu, Naoya Sumi

Publication date: 6 June 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Axiom Aflowsstructurally stablevector fieldsstrong transversality conditiontopologically stable

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Stability theory for smooth dynamical systems (37C75)

Related Items

Robust chain transitive vector fields, Vector fields with the oriented shadowing property, Vector fields satisfying the barycenter property, Divergence-free vector fields with inverse shadowing, Structural stability of vector fields with shadowing, Expansive homoclinic classes of generic \(C^{1}\)-vector fields, Vector fields with the asymptotic orbital pseudo-orbit tracing property, Vector fields with stable shadowable property on closed surfaces, Kinematic N-expansive continuous dynamical systems, Weak measure expansive flows, Spectral decomposition and \(\Omega\)-stability of flows with expanding measures, Robustly measure expansiveness for C¹ vector fields, Topological stability for conservative systems, Continuum-wise expansive homoclinic classes for robust dynamical systems, Asymptotic measure expansive flows, Flows with ergodic pseudo orbit tracing property, The specification property for flows from the robust and generic viewpoint, Unnamed Item, A remark on the topological stability of symplectomorphisms, The gluing orbit property, uniform hyperbolicity and large deviations principles for semiflows, A rescaled expansiveness for flows, Continuum-wise expansiveness for non-conservative or conservative systems, Measure topologically stable flows, Various expansive measures for flows, \(C^1\)-stably expansive flows, Topological stability of a sequence of maps on a compact metric space, Unnamed Item, CHAIN COMPONENTS WITH THE STABLE SHADOWING PROPERTY FOR C¹ VECTOR FIELDS, Flows with the (asymptotic) average shadowing property on three-dimensional closed manifolds, Measure expansive flows for the generic view point, Characterisations of Ω-stability and structural stability via inverse shadowing

Cites Work

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