The Relation Between Expansiveness ond Sensitive Dependence on Initiol Conditions

The goal of this paper is to analyze between two concepts appears with the presence of chaos-in chaotic dynamical systems-first, the expansiveness and the second, is the sensitive dependence on initial conditions. These two concepts revealed that; Every map is sensitive dependence on initial conditions via expansiveness, but the converse is not true. The study applied on . the Tourse map in R2 on the interval I x I ; I = [ 0, I ], in addition with the computer analysis