Renaud Leplaideur

Un exemple explicite de difféomorphisme non-uniformément hyperbolique qui est Kupka-Smale

Résumé: With Isabel Rios and Juan Rivera-Letelier we construct an explicit family of non-uniformly hyperbolic diffeomor-
phisms, at the boundary of the uniformly hyperbolic ones, with one hete- roclinic tangency which generates the lack of uniform hyperbolicity. One of the involved point in this heteroclinic tangency is periodic, the other one can
be adjusted. For a positive measure set of choices, this point is not periodic and then the diffeomorphism in Kupka-Smale: every periodic point is hyper- bolic and any intersection of stable and unstable leaves of periodic points is transverse.

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