The Dynamics of lozi map

Abstract

In this research , we study the dynamic properties that lead to transformations into chaos .in there , we find the point of resistance and the points of proximity to it with prove demonstrated areas of contraction and expansion of the map as well the point of attracting and repelling and we touched to the chaotic properties as defined of Gulike and w-chaotic ,which rely on sensitivity of the initial conditions by use matlab program to draw the figures as well as Lyapunov expansion . finally found lyapunov dimension