Recently, the investigating to complex networks attracts more and more attention. Complex network is the powerful tool in the investigating to complex systems.In nature, there are a lot of complex systems such as the Internet, computer network, the nervous system, social network and so on, can be described through a complex network.By studying these complex networks and the evolution of an internal mechanism to find the complex network behavior and the relationship between the structure of the network, increase its complex network systems of nature awareness.Degree distribution is a bank of complex network,which have been researched deeply, this paper studies time evolution of the degree distribution of nolinear B-A model of scale-free networks.Chapter I we describe the research background of complex network, the development process and the status quo, as well as major research content.Chapter II this paper mainly expound the complex network of the basic concept, commonly used model, as well as complex network applications.Chapter III the linear BA network distribution was mainly discussed.Chapter IV the nonlinear BA network distribution was mainly discussed.Chapter V in this chapter, we get the conclusion .
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