Projective Synchronization in Coupled Integral and Fractional Order Hyper-chaotic Lorenz Systems

Projective synchronization in coupled hyper-chaotic Lorenz systems of integral order and its fractional order commensurate cases are both investigated, respectively. An approximate integer order model for the fractional order hyper-chaotic Lorenz system is constructed while analyzing the projective synchronization scheme of the coupled fractional order hyper-chaotic Lorenz systems. The scaling factor of projective synchronization can be controlled onto a desired value by means of using a state error feedback control method. Illustrations are also given to show the rightness of the theoretical analysis and effectiveness of our proposed methods.