| Synchronization study on complex networks has attracted people's attention in recent years. Since synchronization phenomenon of complex network exists widely in nature, and it is widely used in physics, computer science, biology, life science and information communication etc., it has become a leading subject in many scientific fields.The basic concepts of complex networks, the development history, the current situation and the significance of complex network are introduced in the paper. The synchronization of complex networks is further studied on the basis. The synchronization of triangle network with temporal chaos systems as nodes is first studied. The Lyapunov function is constructed by Backstepping method according to Lyapunov stability theory, the structure of the controller is determined, and the projection synchronization is realized in the whole network. Simulation results show that the theoretical analysis is correct and effective. Secondly, a method to realize synchronization of unidirectional chain network with single-mode Lorenz-Haken laser systems as nodes is presented. Unidirectional chain is used in the network. The structure of the controller and the condition to realize synchronization is give based on Lyapunov stability. It is seen that the whole network can achieve a stable synchronization when the controller is added on a single node. Simulation results show the synchronization scheme is correct and feasible. |
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