Sectional-Anosov flows

DOI10.1007/S00605-008-0078-7zbMath1185.37064OpenAlexW2021742047MaRDI QIDQ848881

Carlos A. Morales

Publication date: 23 February 2010

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-008-0078-7

zbMATH Keywords

incompressible surfaceAnosov flowsectional-hyperbolic set

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Partially hyperbolic systems and dominated splittings (37D30)

Related Items (9)

On the essential hyperbolicity of sectional-Anosov flows ⋮ Recent progress on sectional-hyperbolic systems ⋮ Sectional Anosov flows: existence of Venice masks with two singularities ⋮ On critical orbits and sectional hyperbolicity of the nonwandering set for flows ⋮ On the sensitivity of sectional-Anosov flows ⋮ An improved sectional-Anosov closing Lemma ⋮ Intransitive sectional-Anosov flows on 3-manifolds ⋮ Singular strange attractors beyond the boundary of hyperbolic flows ⋮ Topological properties of sectional-Anosov flows

Cites Work

• Structural stability of Lorenz attractors
• Projectively Anosov flows with differentiable (un)stable foliations
• Omega-limit sets close to singular-hyperbolic attractors
• Quasigeodesic Anosov flows and homotopic properties of flow lines
• Examples of singular-hyperbolic attracting sets
• Incompressibility of tori transverse to Axiom A flows
• Sectional-hyperbolic systems
• Singular hyperbolic systems
• Attracteurs de Lorenz de variété instable de dimension arbitraire
• The explosion of singular-hyperbolic attractors
• Projective hyperbolicity and fixed points
• Invariant manifolds
• Invariant manifolds
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