Hybrid Sliding Synchronizer Design of Identical Hyperchaotic Xu Systems

In this paper, new results have been obtained via sliding mode control for the hybrid chaos synchronization of identical hyperchaotic Xu systems (Xu, Cai and Zheng, 2009). In hybrid synchronization of master and slave systems, the odd states are completely synchronized, while the even states are anti-synchronized. The stability results derived in this paper for the hybrid synchronization of identical hyperchaotic Xu systems are established using Lyapunov stability theory. MATLAB simulations have been shown for the numerical results to illustrate the hybrid synchronization schemes derived for the identical hyperchaotic Xu systems.