Global Chaos Synchronization for WINDMI and Coullet Chaotic Systems Using Active Control

In this paper, global chaos synchronization problem is investigated for WINDMI (J.C. Sportt, 2003) and Coullet (P. Coullet, et al., 1979) chaotic systems using active feedback control. Our theorems on synchronization for WINDMI and Coullet chaotic systems are established using Lyapunov stability theory. The controller design can be divided into two steps: the first one needs the derivation of control Lyapunov function and the second step involves using existing control Lyapunov function to synchronize the chaotic system. The active control method is effective and convenient to synchronize the chaotic systems. Mainly this technique gives the flexibility to construct a control law. Numerical simulations are also given to illustrate and validate the synchronization results derived in this paper.