Chaos Synchronization of Fractional-Order Systems

In this article, we consider two chaotic systems with different orders. we consider the case when one of them is fractional order (drive system) and another one is integer order (response system). Using an active control methodology and a fractional synchronization scheme in the presence of discrepancy between initial conditions of these systems the trajectories of the drive system are forced to track the respose system trajectories. The main feature of the designed controller is its simplicity for practical implementation. Numerical simulations show the effectiveness of the proposed methode for Arneodo’s System.