Global Chaos Synchronization of Hyperchaotic Liu and Hyperchaotic Chen Systems by Active Nonlinear Control

In this paper, we study the global chaos synchronization of identical hyperchaotic Liu systems (2006), identical hyperchaotic Chen systems (2008) and non-identical hyperchaotic Liu and Chen systems. The hyperchaotic Liu system (2006) and hyperchaotic Chen system (2008) are important models of hyperchaotic systems. Active nonlinear control is the method used for the synchronization of identical hyperchaotic Liu systems, identical hyperchaotic Chen systems and non-identical hyperchaotic Liu and Chen systems. Since the Lyapunov exponents are not required for these calculations, the active nonlinear control method is very effective and convenient to achieve synchronization of the hyperchaotic Liu and Chen systems. Numerical simulations are shown to illustrate the effectiveness of the synchronization schemes addressed in this paper.