A NEW CRITERION FOR SYNCHRONIZATION OF COUPLED CHAOTIC OSCILLATORS WITH APPLICATION TO CHUA'S CIRCUITS

Abstract

A new criterion is given for choosing the coupling constant in a system of coupled chaotic oscillators to guarantee their synchronization. The criterion is derived from a new observer design methodology based on Lyapunov stability theory. As an example and application, we prove the conjecture that synchronization of two chaotic Chua circuits can be achieved with the second state as the coupling variable provided that the coupling constant is suitably chosen according to the new criterion.