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Genericity of nonuniform hyperbolicity in dimension 3

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Publication:428931
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DOI10.3934/jmd.2012.6.121zbMath1254.37028arXiv1203.5170OpenAlexW2963662159MaRDI QIDQ428931

M. A. Rodriguez Hertz

Publication date: 25 June 2012

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.5170


zbMATH Keywords

nonuniform hyperbolicitydominated splittingMañé-Bochi theorem


Mathematics Subject Classification ID

Generic properties, structural stability of dynamical systems (37C20) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)


Related Items (11)

What are Lyapunov exponents, and why are they interesting? ⋮ Stable minimality of expanding foliations ⋮ On \(C^1\)-generic chaotic systems in three-manifolds ⋮ Symplectomorphisms with positive metric entropy ⋮ Anatole Katok ⋮ Stable weakly shadowable volume-preserving systems are volume-hyperbolic ⋮ Transitivity of conservative diffeomorphisms isotopic to Anosov on ⋮ Diffeomorphisms with positive metric entropy ⋮ The Lyapunov exponents of generic skew-product compact semiflows ⋮ Minimality and stable bernoulliness in dimension 3 ⋮ New examples of stably ergodic diffeomorphisms in dimension 3




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