Splitting and coexistence of 2-D strange attractors in a general family of Expanding Baker Maps

Abstract

We consider a two-parameter family of Expanding Baker Maps on the plane, being a > 1 and an expansion rate and a rotation angle, respectively. We prove that exhibits strange attractors for every a sufficiently close to 1. We also study how such attractors may split into other ones of a larger number of connected pieces as a decreases to 1 and is a rational number. The study of the family is strongly motivated by the rich dynamics observed for the quadratic family .