Chaotic Synchronization Of Nonlinear Dynamical Systems And Complex Networks

Chaotic synchronization is a fast developing field in recent years. Due to its tremendous value in secure communication, chaotic synchronization has attracted many scholars all over the world to take part in this field. We introduce the history, latest development and corresponding results in synchronization of nonlinear system. In chapter 2, we talk about the fundamental knowledge in this area. In chapter 3, we introduce a nonlinear feedback method, and hence an example about a three dimensional system. Meanwhile, with the help of Lyapunov function and Matlab, we made an analytical and numerical result respectively. In chapter 4, we introduce a method realizing chaotic synchronization of complex network composed of some nodes coupled together, and hence an example of four-node-network. Meanwhile, with the help of Lyapunov function and Matlab, we made an analytical and numerical result respectively.