Generalized Synchronization of Complex Dynamical Networks with Different Nodes and Different Orders

This paper studies the generalized synchronization between two completely different complex dynamical networks. We present two complex dynamical networks, in which the nodes of the network are different and each node has the different dimensional dynamical system. Then we give a nonlinear control scheme based on Lyapunov stability theory, and derive a sufficient criterion for this generalized synchronization. To validate the theoretical results, we give some chaotic examples. Matlab simulation results further demonstrate the feasibility and effectiveness of the theoretical results.