Authors : Sundarapandian Vaidyanathan and Karthikeyan Rajagopal
Abstract: This study investigates the global chaos synchronization of identical hyperchaotic Wang Systems, identical hyperchaotic Pang Systems and non-identical hyperchaotic Wang and hyperchaotic Pang Systems via Adaptive Control Method. Hyperchaotic Pang System and hyperchaotic Wang System are recently discovered hyperchaotic systems. Adaptive Control Method is deployed in this study for the general case when the system parameters are unknown. Sufficient conditions for global chaos synchronization of identical hyperchaotic Pang Systems, identical hyperchaotic Wang Systems and non-identical hyperchaotic Pang and Wang Systems are derived via Adaptive Control Theory and Lyapunov Stability Theory. Since, the Lyapunov exponents are not required for these calculations, the Adaptive Control Method is very convenient for the global chaos synchronization of the hyperchaotic systems discussed in this study. Numerical simulations are presented to validate and demonstrate the effectiveness of the proposed synchronization schemes.
Sundarapandian Vaidyanathan and Karthikeyan Rajagopal , 2012. Global Chaos Synchronization of Hyperchaotic Pang and Hyperchaotic Wang Systems via Adaptive Control. International Journal of Soft Computing, 7: 28-37.