ACTIVE CONTROLLER DESIGN FOR THE ANTI-SYNCHRONIZATION OF HYPERCHAOTIC QI AND HYPERCHAOTIC JHA SYSTEMS

This paper derives new results for the anti-synchronization of identical hyperchaotic Qi systems (2008), identical hyperchaotic Jha systems (2007) and non-identical hyperchaotic Qi and hyperchaotic Jha systems. Active nonlinear control is the method adopted to achieve the anti-synchronization of the identical and different hyperchaotic Qi and Jha systems. Our stability results derived in this paper are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the active nonlinear control method is effective and convenient to achieve anti-synchronization of the identical and different hyperchaotic Qi and hyperchaotic Jha systems. Numerical simulations are shown to validate and illustrate the effectiveness of the anti-synchronization results derived in this paper