Drive-response scenario of chaos synchronization in identical nonlinear systems

Abstract

We present an alternative way of achieving chaos synchronization in identical nonlinear systems with one-way coupling. We specifically realize this method of chaos synchronization in the van der Pol–Duffing oscillator and obtain a suitable Lyapunov function to establish the criterion for synchronization based on asymptotic stability. Synchronization of chaos is further demonstrated for the case of two identical Duffing oscillators. We also investigate the possibility of secure communication of analog signals in these systems.