Anti-Synchronization of CAI and TIGAN Systems by Active Nonlinear Control

This paper investigates the global chaos anti-synchronization of identical Cai systems (Cai and Tan, 2007), identical Tigan systems (Tigan and Opris, 2008) and non-identical Cai and Tigan chaotic systems. Active nonlinear control is the method adopted to achieve the anti-synchronization of the identical and different Cai and Tigan systems. Our stability results derived in this paper are established using active control method and Lyapunov stability theory. We use a quadratic Lyapunov function for establishing global asymptotic stability of the error dynamics for the chaos anti-synchronization problems. Since the Lyapunov exponents are not required for these calculations, the nonlinear control method is effective and convenient to synchronize the identical and different Cai and Tigan systems. Numerical simulations are shown to validate and illustrate the effectiveness of the anti-synchronization results derived in this paper.