The topological and chaoticity properties of hyperbolic toral automorphisms

Abstract EN

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