Chaotic Properties of Modified the Kaplan York ‎Map

Abstract

We studied this work investigate the fixed points of modified Kaplan York map k₁ and we focus on  found   contracting and expanding area of this map ,Moreover we  study the dynamical system of modified Kaplan York map,is aslo studied  the chaotic properties of k₁ proved  the topological entropy of k₁ is positive , k₁ is sensitive dependence into initial  condition , k₁ is transitive finally the Lyapunov exponent is positive .we use mat lab program to show the sensitivity and transitivity of Kaplan York map