On the sensitivity of sectional-Anosov flows

DOI10.1007/s00209-010-0811-5zbMath1251.37039OpenAlexW2042989416MaRDI QIDQ663246

Alexander Arbieto, Laura Senos, Carlos A. Morales

Publication date: 14 February 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-010-0811-5

zbMATH Keywords

sectional-Anosov flowAnosov flowsensitivity to initial conditions

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Partially hyperbolic systems and dominated splittings (37D30)

Related Items (8)

On the essential hyperbolicity of sectional-Anosov flows ⋮ Homoclinic classes for sectional-hyperbolic sets ⋮ Recent progress on sectional-hyperbolic systems ⋮ On critical orbits and sectional hyperbolicity of the nonwandering set for flows ⋮ Unnamed Item ⋮ Finiteness and existence of attractors and repellers on sectional hyperbolic sets ⋮ An improved sectional-Anosov closing Lemma ⋮ Sectional Lyapunov exponents

Cites Work

• Unnamed Item
• An improved sectional-Anosov closing Lemma
• Sectional-Anosov flows
• The geometry of cross sections to flows
• Omega-limit sets close to singular-hyperbolic attractors
• Robust transitive singular sets for 3-flows are partially hyperbolic attractors or repellers
• Strong stable manifolds for sectional-hyperbolic sets
• A sectional-Anosov connecting lemma
• Sectional-hyperbolic systems
• Singular-hyperbolic attractors are chaotic
• Singular hyperbolic systems
• Singular strange attractors on the boundary of Morse-Smale systems
• An example of a wild strange attractor
• The explosion of singular-hyperbolic attractors
• Invariant manifolds
• Solution of the basin problem for Hénon-like attractors

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