Global chaos synchronization of hyperchaotic Pang and Wang systems by active nonlinear control

Abstract

This paper investigates the global chaos synchronization of identical hyperchaotic Pang systems (Pang and Liu, 2011) and synchronization of non-identical hyperchaotic Pang system and Wang system (Wang and Liu, 2006). Active nonlinear feedback control is the method used to achieve the synchronization of the identical and different hyperchaotic Pang and Wang systems addressed in this paper and our results are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the active control method is effective and convenient to synchronize identical and different hyperchaotic Pang and Wang systems. Numerical simulations are given to illustrate the effectiveness of the proposed synchronization schemes for the global chaos synchronization of hyperchaotic systems addressed in this paper. © 2011 Springer-Verlag Berlin Heidelberg.