Studies Of Chaos Synchronization Of Nonlinear Dynamical Systems

Chaos synchronization is an active research field. But the most offered methods for realizing chaos synchronization are confined in linear control methods. In the third chapter, using the methods of nonlinear feedback functions and Lyapunov functions and combining analytical with numerical methods, the nonlinear feedback methods are introduced and the synchronizations of chaos in Hadley system of aerographs and LFRBM system of physics are realized. Some of nonlinear feedback functions are constructed. The Mathematical software is used to prove the effectiveness of this method. The forth chapter discusses the global time-delay synchronization of nonlinear dynamical system, in the first section, we addresses a practical issue in chaos synchronization of WINDMI system which is based on the Lyapunov stabilization theory and matrix measure, such that the state of the slave system at time t is asymptotically synchronizing with the master at time t-Ï„. The Mathematical software is used to prove the effectiveness of this method. The second section discusses the synchronization with channel time-delay for chaotic time-delay system, taking WINDMI as example gives the numerical result. In the fifth chapter, the synchronization between two WINDMI systems with bidirectional coupling is studied. We apply simple linear-coupled method to discus the complex behavior of the system and give the numerical result.