Nonlinear adaptive synchronization of a class of chaotic systems

In this Letter, a new control approach to synchronize a class of chaotic systems using the drive-response concept is presented. The proposed technique exploits adaptive observer design and Lyapunov stability theory. A remarkable feature of this approach is that, nonlinear terms are required to achieve chaos synchronization. An application to secure chaotic communication is also proposed. Computer simulation on the Φ6-Van der Pol oscillator is given to confirm the theoretical prediction.