Tracking control and synchronization of memristor hyper-chaotic system

In this work, a new hyper-chaotic system based on memristor is proposed and the tracking control and synchronization is achieved. The dynamic characteristics of memristor hyper-chaotic system are analyzed theoretically. Then, the synchronization controllers are designed to realize the chaotic synchronization with the different structure and the tracking synchronization with the given signal. Besides, the effectiveness of synchronization controllers are verified by the Lyapunov principle. The simulated results demonstrated that the memristor hyper-chaotic system has good performance in the tracking control and synchronization. It provides new theoretical guidance for the application of the nano-electronic chaotic system in secure communication and image encryption.