Preprint A109/2001
Non-periodic bifurcations at the boundary of hyperbolic systems
Paulo Sabini
Keywords: hyperbolic systems | bifurcations | periodic points
We prove that diffeomorphisms with tangencies between stable and unstable manifolds of non-periodic points are abundant on the boundary of hyperbolic systems in a probabilistic sense. For these diffeomorphisms all periodic points are hyperbolic and all their stable and unstable manifolds are transverse.