Anti-synchronization Of Hyperchaotic Systems Research Articles

Anti-Synchronization of Hyperchaotic Bao and Hyperchaotic Xu Systems via Active Control

This paper investigates the anti-synchronization of identical hyperchaotic Bao systems (Bao and Liu, 2008), identical hyperchaotic Xu systems (Xu, Cai and Zheng, 2009) and non-identical hyperchaotic Bao and hyperchaotic Xu systems. Active nonlinear control has been deployed for the anti- synchronization of the hyperchaotic systems addressed in this paper and the main results have been established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the active nonlinear control method is very effective and convenient to achieve anti-synchronization of identical and non-identical hyperchaotic Bao and hyperchaotic Xu systems. Numerical simulations have been provided to validate and demonstrate the effectiveness of the anti-synchronization results for the hyperchaotic Cao and hyperchaotic Xu systems.