Global Chaos Synchronization of Liu-Su-Liu and Li Systems by Active Nonlinear Control

This paper investigates the global chaos synchronization of identical Liu-Su-Liu systems (2006), identical Li systems (2009) and non-identical Liu-Su-Liu and Li chaotic systems. Active nonlinear control is the method adopted to achieve the complete synchronization of the identical and different Liu-Su-Liu and Li systems. Our stability results derived in this paper are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the nonlinear control method is effective and convenient to synchronize the identical and different Liu-Su-Liu and Li systems. Numerical simulations are shown to validate and illustrate the effectiveness of the synchronization results derived in this paper.