Global chaos synchronization of hyperchaotic Bao and Xu systems by active nonlinear control

Abstract

This paper investigates the global chaos synchronization of hyperchaotic systems, viz. synchronization of identical hyperchaotic Bao systems (Bao and Liu, 2008), and synchronization of non-identical hyperchaotic Bao and Xu systems. Active nonlinear feedback control is the method used to achieve the synchronization of the chaotic systems addressed in this paper. Our theorems on global chaos synchronization for hyperchaotic Bao and Xu systems 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 Bao and Xu systems. Numerical simulations are also given to illustrate and validate the various synchronization results derived in this paper. © 2011 Springer-Verlag.