Authors : V. Sundarapandian and R. Karthikeyan
Abstract: In this study, researchers apply Adaptive control method to derive new results for the global chaos anti-synchronization of identical hyperchaotic Lorenz systems in 2007, identical hyperchaotic Chen systems in 2010 and non-identical hyperchaotic Lorenz and hyperchaotic Chen systems. In this study, we shall assume that the parameters of both master and slave systems are unknown and we devise adaptive anti-synchronization schemes using the estimates of parameters for both master and slave systems. The adaptive anti-synchronization results derived in this study are established using Lyapunov stability theory. Since, the Lyapunov exponents are not required for these calculations, the proposed Adaptive control method is very effective and convenient to achieve anti-synchronization of identical and non-identical hyperchaotic Lorenz and hyperchaotic Chen systems. Numerical simulations are shown to demonstrate the effectiveness of the proposed adaptive anti-synchronization schemes for the hyperchaotic systems addressed in this study.
V. Sundarapandian and R. Karthikeyan, 2011. Anti-Synchronization of Hyperchaotic Lorenz andHyperchaotic Chen Systems by Adaptive Control. International Journal of Signal System Control and Engineering Application, 4: 18-25.