1.Department of Mathematics,University of California,Irvine,USA
Abstract:
Consider a generic one-parameter unfolding of a homoclinic tangency of an area preserving surface diffeomorphism. We show
that for many parameters (residual subset in an open set approaching the critical value) the corresponding diffeomorphism
has a transitive invariant set Ω of full Hausdorff dimension. The set Ω is a topological limit of hyperbolic sets and is accumulated
by elliptic islands.