Global Chaos Synchronization of Hyperchaotic Pang and Hyperchaotic Wang Systems via Adaptive Control

This paper investigates the global chaos synchronization of identical hyperchaotic Wang systems, identical hyperchaotic Pang systems, and non-identical hyperchaotic Wang and hyperchaotic Pang systems via adaptive control method. Hyperchaotic Pang system (Pang and Liu, 2011) and hyperchaotic Wang system (Wang and Liu, 2006) are recently discovered hyperchaotic systems. Adaptive control method is deployed in this paper for the general case when the system parameters are unknown. Sufficient conditions for global chaos synchronization of identical hyperchaotic Pang systems, identical hyperchaotic Wang systems and non-identical hyperchaotic Pang and Wang systems are derived via adaptive control theory and Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the adaptive control method is very convenient for the global chaos synchronization of the hyperchaotic systems discussed in this paper. Numerical simulations are presented to validate and demonstrate the effectiveness of the proposed synchronization schemes.