الفهرس 
Nonlinear Phenomena: PreliminariesOnly 14 pages are availabe for public view
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Abstract
In this thesis we present several different methods to chaos synchronization of nonlinear dynamical system. The substance of the thesis is divided into four chapters: Chapter I : Presents the main definitions of nonlinear dynamical system, such as stability, strange attractor, types of bifurcations, chaos, Lyapunov exponents and the direct method of Lyapunov. Chapter II : We propose different methods to chaos synchronization of Modified Chen?s dynamical systems. Numerical simulation results are included to show the synchronization method process. Chapter III : we study the synchronization problem of two identical Lu systems with uncertain parameters. Lyapunov direct method of stability is used to prove the asymptotic stability of solutions for the error dynamical system. Numerical simulations are given to explain the effectiveness of the proposed control scheme. Chapter IV : we study the chaos synchronization problems of two identical fourscroll attractor and synchronization of two different chaotic systems. Based on Lyapunov stability theory and matrix measure, a simple generic criterion is derived for global synchronization of fourscroll chaotic attractor system with a unidirectional linear error feedback coupling. Numerical simulations are given to explain the effectiveness of the proposed control scheme.