A $C^2$ generic trichotomy for diffeomorphisms: Hyperbolicity or zero Lyapunov exponents or the $C^1$ creation of homoclinic bifurcations
DOI10.1090/S0002-9947-2014-06425-8zbMath1304.37018OpenAlexW2017713026MaRDI QIDQ3190923
Publication date: 19 September 2014
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-2014-06425-8
Lyapunov exponentshyperbolic measureshomoclinic tangenciesheterodimensional cycles\(C^2\) generic propertiesaxiom A with no cyclespesin theory
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Generic properties, structural stability of dynamical systems (37C20) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)
Related Items (2)
Cites Work
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