| Since the first chaos attractor—Lorenz attractor has been found, people unceasingly found new chaos systems and studied them in order to deepen and unify the comprehension and knowledge of the chaos. The discovery of new chaos systems for people to learn more about chaos supplied broad developing prospects, so studying new chaos systems is significant and profound. For the Liu System is the lately chaos system at present, the study of control and synchronization of which will develop the study range of generalized Lorenz System, which means great. Thus the paper mainly deal with study and discussion around the chaos control and synchronization of the Liu System. The main content of this thesis is as followed:1. On the hand of the chaos control, the paper made discussion on the control feedback of the chaos system and put forward the method that using linear feedback to control Liu system to balanced point and made the related prove and numerical simulation.2. On the other hand of the chaos synchronization, the paper made discussion on the chaos self-synchronization. Using self-adapt synchronization control method studied unknown drive parameter situation, obtained the ideal control method, the value simulation result has demonstrated this method validity.3. The paper based on Lyapunov Stability Theory, by construct appropriate controller, effective fast realizes the chaos stable control and the synchronization control, and has confirmed controller's validity with the theoretical analysis and the value simulation and the fit and unfit quality. Through carries on the control and the synchronization to the Liu system discovered that proposed the method is not only feasible moreover is effective.
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