Chaos and Bifurcations in some Zeraoulia-Sprott mappings

Abstract

The main goal of this thesis is to investigate different kinds of bifurcations in some 2-D Zeraoulia-Sprott chaotic discrete mappings. It exoplores the normal form of these systems, the various kinds of bifurcations, and the conditions under which they occur. the study also inverstigates chaos and bifurcation phenomena in both the modified Lozi and Logistic systems highlighting the main characteristics of each system.