Singular-hyperbolic connecting lemma

DOI10.1007/S12346-020-00412-2zbMath1454.37029OpenAlexW3047096786WikidataQ124837968 ScholiaQ124837968MaRDI QIDQ2006834

Serafin Bautista, Yeison Sánchez, V. Sales

Publication date: 12 October 2020

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-020-00412-2

zbMATH Keywords

sensitivitysectional-Anosov flowAnosov flowAnosov connecting lemmasingular-hyperbolic sets

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Invariant manifold theory for dynamical systems (37D10) Dynamical systems with hyperbolic orbits and sets (37D05)

Cites Work

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• Characterizing omega-limit sets which are closed orbits
• Neighborhoods of hyperbolic sets
• Three-Dimensional Flows
• A sectional-Anosov connecting lemma
• A dichotomy for three-dimensional vector fields
• Invariant manifolds

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