Non-hyperbolic ergodic measures for non-hyperbolic homoclinic classes

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We prove that for a generic $C^1$-diffeomorphism existence of a homoclinic class with periodic saddles of different indices (dimension of the unstable bundle) implies existence an invariant ergodic non-hyperbolic (one of the Lyapunov exponents is equal to zero) measure of $f$.
50 pages

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Dynamical Systems, 37C05, 37C20, 37C29, 37D25, 37D30

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http://salesiana.dossiersoluciones.com/handle/123456789/158647

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0804.1796
 http://arxiv.org/abs/0804.1796

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arXiv