The synchronization of three fractional differential systems

In this paper, a new method is proposed and applied to the synchronization of fractional differential systems (or “differential systems with fractional orders”), where both drive and response systems have the same dimensionality and are coupled by the driving signal. The present technique is based on the stability criterion of linear fractional systems. This method is implemented in (chaos) synchronization of the fractional Lorenz system, Chen system and Chua circuit. Numerical simulations show the present synchronization method works well.