On the hyperbolicity of homoclinic classes
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Publication:1045771
DOI10.3934/DCDS.2009.25.1143zbMath1200.37023OpenAlexW1994920597MaRDI QIDQ1045771
Christian Bonatti, Shaobo Gan, Da-Wei Yang
Publication date: 16 December 2009
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2009.25.1143
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)
Related Items (11)
Hyperbolicity versus weak periodic orbits inside homoclinic classes ⋮ On the dominated splitting of Lyapunov stable aperiodic classes ⋮ Expansive homoclinic classes of generic \(C^{1}\)-vector fields ⋮ Rigidity of center Lyapunov exponents and \(su\)-integrability ⋮ Codimension one structurally stable chain classes ⋮ On the hyperbolicity of \(\operatorname{C}^1\)-generic homoclinic classes ⋮ Uniform hyperbolicity along periodic orbits ⋮ Accessibility of derived-from-Anosov systems ⋮ HYPERBOLICITY OF HOMOCLINIC CLASSES OF VECTOR FIELDS ⋮ ON THE <i>F</i>-EXPANDING OF HOMOCLINIC CLASSES ⋮ Structurally stable homoclinic classes
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