The Analysis And Research Of Outer Synchronization Between Complex Networks

In recent years, as an important subject in the area of complex network research, complexnetwork has been one of the hot contents, which is reached by specialists in every sciencefield. Outer synchronization between complex networks, as an generalized form of internalsynchronization, attracts attentions of people, due to its potential application. On the basis ofother scholars’ achievements in the research, this paper discusses the subject ofsynchronization between complex networks in depth.In the first part of this paper, it introduces briefly the basic concept and type of complexnetwork, overviews the research background of complex network and common software.Then state concretely synchronization theory of complex network, analyze the stability ofcomplex network, and introduce several typical complete synchronizations of complexnetwork.On this basis, focus on the research of outer synchronization between complex networks,realize the synchronization between two Uncertain network complex networks. In the processof research, use chaotic system with unknown parameters as nodes, and assume that thecoupled strength of response system is uncertain. Based on Lyapunov stability theory, designreasonable controller as external input, with which both of them achieve outersynchronization. And in this process, identify the uncertain parameters. Taking CO2laserequation chaotic model for example, construct star networks, validate the effectiveness of thismethod through numerical simulation.Besides, the adaptive synchronization law between two complex networks with nonidentialtopological structures is further researched. Research the laws of outer synchronizationbetween networks with uncertain parameters, the update laws for system unknown parametersof node dynamics, configuration matrix and the adaptive law of outer coupling strength areobtained based on Lyapunov stability theory and the adaptive method. The pump modulationmodel of erbium-doped laser is taken as an example for simulation experiment in Matlab, andit is found that synchronization between networks performs extremely stably.