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Global Chaos Synchronization of Four-Scroll and Four-Wing Attractors by Active Nonlinear Control

This paper investigates the global chaos synchronization of identical four-scroll attractors (Liu and Chen, 2004), identical four-wing attractors (Liu, 2009) and non-identical four-scroll and four-wing attractors by active nonlinear control. The stability results derived in this paper for the global chaos synchronization using active nonlinear control are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the proposed active nonlinear control method is very effective and convenient to achieve global chaos synchronization of four-scroll and fourwing chaotic attractors. Numerical simulations are shown to illustrate the effectiveness of the synchronization schemes derived in this paper for the identical and non-identical four-scroll and fourwing chaotic attractors. Keywordschaos synchronization; active nonlinear control; four-scroll attractor; four-wing attractor.