The realization of synchronization and modelling of chaotic systems in different kinds

Chaos, that is the one of the topic encountered in many branches of science in recent years, is a non-periodic long time behaviour that results from a deterministic system with extreme sensitivity to initial conditions. Chaos is used in many fields of electronics and communication. Great contribution was provided to the numerical analysis of chaos researches together with the development of computer technology, and it has increased the speed of the researches related with this subject. The realization of Matlab simulation modelling and synchronization of different kinds of chaotic systems was researched in this study. The aim of this thesis is to examine the studies which were realized till now, to research the fields where the chaos science has been used, to introduce the chaotic systems, and to realize the system modelling and simulations in the Matlab program, to examine the system behaviours and to provide the synchronizations of some chaotic systems. The synchronization expression and the synchronization methods were also considered in this thesis, the Pecora-Carroll system, which is recognized as a large scaled and impressive method for synchronization was examined. This method was used for providing synchronization of some chaotic systems, the pre-synchronization and the post- synchronization system behaviours. Keywords: Chaos, Chaotic Systems, Chaotic Circuits, Synchronization