In this paper, the authors investigate the anti-synchronization of chaotic Pan, Lorenz, and Lu systems and anti-synchronization of Liu and Cai systems. Global exponential synchronization of Pan, Lorenz, Lu, Liu, and Cai chaotic systems are established by using Lyapunov stability theory. Numerical simulations are performed to illustrate the effectiveness of the proposed synchronization schemes f...

A chaotic system owns complex dynamics though it is with deterministic expression in mathematics, and it has attractived numerous study and application in many fields of the world. But for a concrete application, it is usually with parameters uncertainty while it is implemented. In this paper synchronization of discrete-time chaotic systems with parameters and/or structure uncertainty is resear...

An adaptive control scheme is developed to study the generalized adaptive chaos synchronization with uncertain chaotic parameters behavior between two identical chaotic dynamic systems. This generalized adaptive chaos synchronization controller is designed based on Lyapunov stability theory and an analytic expression of the adaptive controller with its update laws of uncertain chaotic parameter...