Projective Synchronization of Fractional Order Hyperchaotic Systems Based on Matrix Decomposing

Abstract

Dynamic behavior of the fractional order hyperchaotic Chen system is discussed. According to linear system stability judgment method, general projective synchronization method of hyperchaotic system with fractional order is introduced. By constructing constant full rank matrix, via designing response system, projective synchronization between it and the corresponding drive system can be achieved along with sufficient conditions being obtained. The proposed scheme is simple and easy to be implemented. To verify the effectiveness of the addressed method, numerical simulations are demonstrated.