Synchronization Of Different-Structural Chaotic Systems

Chaos is a kind of special type in the nonlinear dynamical system, it widely lies in nature. Recently, chaos control and synchronization have been an active research of the nonlinear subject. This new technology promises to have significant impact on many novel engineering applications. The challenging research field has become a scientific inter-discipline involving many other fields. Form the point of practical application, in this paper, we study chaos synchronization of different chaotic systems and generalized projective synchronization. The main content is depicted as follows:Chapter one introduces the investigation history, current situations of chaos synchroniza -tion, the methods and types of chaos synchronization.In chapter two,Based on Lyapunov stabilization theorem and Uniform Lipschitz condition, a controller is designed to realize chaos synchronization between different chaotic systems. Taking Chen system and Liu system as examples, the synchronization of different chaotic systems is realized; taking hyperchaotic Chen system and hyperchaotic Lüsystem as examples, the synchronization of different hyperchaotic chaotic systems is realized; taking hyperchaotic Lüand Lorenz system as examples, the synchronization between two different chaos systems with different orders is realized. The Matlab software is used to prove the effectiveness of this method.The third chapter discusses the generalized projective synchronization between two different chaos systems. Brief the generalized projective synchronization and mathematical model is given. On the one hand, the second chapter in the development and application of adaptive method generalized projection synchronization. Through theoretical calculations and computer simulation results show that the effectiveness of the method. On the other hand, synchronization error of feedback linearization system for synchronization. Draw another expression of generalized projection synchronous controller. Taking Chen system and Liu system as examples, the synchronization of different chaotic systems is realized and with adaptive methods were compared.Last, concludes the work and points out some aspects to be further studied on chaos synchronization of nonlinear dynamic systems.