About the dynamics of Zeraoulia-Sprott mapping

Abstract

The objective of this thesis is to study the dynamical behaviors of the Zeraoulia- Sprott mapping. In particular, this map is the first simple rational map whose fraction has no vanishing denominator and gives chaotic attractors .  In the first chapter, we mentioned some important and comprehensive concepts of dynamical system theory.  In the second chapter, we introduced a two-dimentional smooth discrete bounded map capable of generating multi-fold strange attractors .  In the third chapter we studied periodic 2-orbits of the Zeraoulia-Sprott mapping and we investigete also the bounded and unbounded orbits. Resumé