Chaos in some Zeraouilia-Sprott mappings

Abstract

The objective of this thesis is the exploration of chaos in certain Zeraouilia-Sprottmappings. In particular, this class of discrete dynamical systems known for their chaotic behaviors. • In the first chapter, we mentioned some important and comprehensive concepts of dynamical systems theory. • In the second chapter, we introduced some Zeraoulia-Sprott smooth discrete mappings in one and two dimensions capable of generating Chaos. • In the third chapter, we studied a simple 2-D discrete piecewise linear chaotic of Zeraoulia-Sprott mapping that is capable of generating a hyperchaotic double scroll attractor.