Synchronization Of Discrete Complex Networks With Topology Switching Properties

So far,the related investigations on complex network have become the hot topic in so many fields,including physics,information communication,biological engineering,even social science.Especially,the relevant theoretical researches on network synchronization have attracted considerable interest recently.With the closer and closer relationship between the investigation and the actual production of complex network,the problem of network synchronization with the characteristics of topology switching has exhibited great practical value and theoretical significance.In this thesis,the synchronization problems of discrete complex networks with topology switching characteristics have been studied and the main contents are as follows:In the first and second chapters,the typical models,the historical background and the synchronization methods about complex network are introduced,and the characteristics of spatiotemporal network and the coupled map lattice model for constructing the network are summarized briefly.At the same time,the research status of complex network synchronization at home and abroad is introduced briefly.In the third chapter,the projective synchronization of discrete complex networks with topology switching characteristics is investigated.Based on the Lyapunov stability theorem,the projective synchronization between the complex network with the topology switching characteristics and the target are achieved by designing an effective Lyapunov function,and the updating rules of the parameter identification are also obtained.The simulation experiment of the discrete chaos systems with optical bistable state is further carried out to verify the correctness and effectiveness of the theoretical analyses.In the fourth chapter,the spatiotemporal network is constructed firstly by using of spatiotemporal chaotic systems,and on the basis of model,the synchronization investigation of the discrete spatiotemporal network with topology switching characteristics is completed.According to the stability theorem,the ranges of the parameters are determined and the updating rules of parameter identification are gained in the given ranges of parameters.Finally,the coupled map lattice model is chosen as the network nodes of network to carry out the simulation experiment in order to illustrate the universality and correctness of the theoretical analyses.In the last chapter,the summary of the research contents of this thesis is given,and at the same time some prospect and consideration in the future are put forward.