Preprint A127/2002
Homoclinic bifurcations: from Poincaré to present time
Jacob Palis
Keywords: hyperbolic systems | complement | density
We conjecture that dynamical systems displaying homoclinic bifurcations are dense in the complement of the hyperbolic ones. In fact, the conjecture is true for C1 diffeomorphisms of surfaces, a remarkable result recently obtained by Pujals and Sambarino [PS].