Study On Stability Of Complex Networks Based On Evolutionary Dynamics

With the network growing of human society ,real network systems are becoming increasingly complicated and even harder to predict.But people's requirements of network security and stability are getting higher and higher.Therefore,the study on stability of complex networks has become a popular focus of people's attention,it has very important theoretical significance and application value.This dissertation has researched on mechanism of the evolution and stability of complex network with using of complex network theory and the knowledge of dynamics.First,considering factors of the node attraction and the limit of node strength,this dissertation constructs a new and more realistic weighted evolving complex network model based on the BBV model.The results show that these two factors are both have some influence on the evolution and stability of the network,the distribution of node strength follows a power-law distribution.By appropriately adjusting the parameter of each property that it can reduce the network's load,enhance its performance and maintain its stability. It has practical significance of the study of complex networks.Then,through the study of the self-organization theory of complex network, this dissertation constructs a network model and simulates the model to analyse the mechanism of the evolution and stability of complex network.it find that the evolution and stability of the complex network is closely related to the network flow,the level of dependence between nodes in network and the external environment.And it is mainly determined by the network flow conditions.It can make the network keep stable state through each node of network cooperate with each others.It has prevalent meaning of guidance.