Projective synchronization in drive-response dynamical networks

Projective synchronization (characterized by a scaling factor αα) and its control have recently been well investigated in two coupled chaotic oscillators, but it has not been realized yet in the case of more than two chaotic systems. In this paper, we study the projective synchronization in 1+N1+N coupled chaotic systems by introducing a drive-response dynamical networks model. Furthermore, pinning control techniques are also adopted to direct the scaling factor onto the desired value. It is also shown that the projection synchronization of the drive-response dynamical networks can be realized by controlling only one node. Numerical simulations on the chaotic Lorenz system are illustrated to verify the theoretical results.