Symbolic dynamics for Lozi maps

Michal Misiurewicz, Sonja Stimac

In this paper we study the family of the Lozi maps $L_{a,b}:{\mathbb{R}}^2\to {\mathbb{R}}^2$, $L_{a,b}=(1+y-a|x|,bx)$, and their strange attractors ${\Lambda }_{a,b}$. We introduce…