ABSTRACT

This paper investigates the problem of anti-synchronization of identical hyperchaotic Liu systems (2008), hyperchaotic Qi systems (2008) and non-identical hyperchaotic Liu and hyperchaotic Qi systems using active nonlinear control. Sufficient conditions for achieving anti-synchronization of the identical and different hyperchaotic Liu and hyperchaotic Qi systems using active nonlinear control are derived based on Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the active control method is very effective and convenient to achieve anti-synchronization of identical and different hyperchaotic Liu and hyperchaotic Qi systems. Numerical simulations are shown to demonstrate the effectiveness of the anti-synchronization schemes derived in this paper.