A sectional-Anosov connecting lemma

DOI10.1017/S0143385709000157zbMath1200.37026OpenAlexW2013221450WikidataQ124937710 ScholiaQ124937710MaRDI QIDQ3558030

Serafin Bautista, Carlos A. Morales

Publication date: 29 April 2010

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385709000157

zbMATH Keywords

invariant setlimit setcross-sectionAnosov flowdominated splittinghyperbolic setLorenz-like singularity

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Periodic orbits of vector fields and flows (37C27) Partially hyperbolic systems and dominated splittings (37D30)

Related Items (10)

On the essential hyperbolicity of sectional-Anosov flows ⋮ Homoclinic classes for sectional-hyperbolic sets ⋮ Sectional-Anosov flows on certain compact 3-manifolds ⋮ On the number of ergodic physical/SRB measures of singular-hyperbolic attracting sets ⋮ The specification property for flows from the robust and generic viewpoint ⋮ On the sensitivity of sectional-Anosov flows ⋮ Sectional-hyperbolic Lyapunov stable sets ⋮ Singular-hyperbolic connecting lemma ⋮ An improved sectional-Anosov closing Lemma ⋮ Conservative flows with various types of shadowing

Cites Work

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