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
