The Topological and Chaoticity Properties of Hyperbolic Toral Automorphisms .

Abstract

There are many properties of chaotic maps . In our work , we are study some of properties of hyperbolic toral automorphisms . we prove a hyperbolic toral automorphisms has a unique saddle fixed point . We prove each point in domain a hyperbolic toral automorphisms is non wandering point also , We prove a hyperbolic toral automorphisms is chaotic in sense of Touhey ,expansive , topologically mixing , totally transitive , weakly blending , not expanding , and it is not minimal