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.

Anexos:

• sabini.ps