Global Chaos Synchronization of Four-Scroll and Four-Wing Attractors by Active Nonlinear Control
Keywords:
chaos synchronization; active nonlinear control; four-scroll attractor; four-wing attractor.Abstract
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 four- wing 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
four- wing chaotic attractors.
