Study On Dissipative Structure Characteristic And Matrix Representation Of Complex Network

From the Internet to the WWW, from large electricity network to the global transportation network, From the biological brain metabolism of the various networks, from research network to a variety of economic, political and social relations network, It can be said that people already living in a full variety of complex network world. Complex network theory to the study of various appear incompatible with the complex network of common and universal addressing their side Act.In recent years, with complex networks in-depth. Research of complex network theory is no longer confined to the study of mathematics. People began to consider the large number of nodes to connect complex structure of the actual characteristics of the overall network, from physics to biology of the many disciplines set off a complex network of the globe. Science between the crossover study to become a trend.This paper reviews and presentation of the map, complex network and the basic concept of the complex network topology model and its basic nature. It also presents the theory of dissipative structures, systematically expounded on the theory of dissipative structures of the basic concepts, It examines the content of the formation of dissipative structures basic conditions.Papers through complex network structure entropy, in theory be complex network structures entropy ranged from 1/2ln 4(N-1) to In N, From a macro point of the sequence of complex systems change. The same size and the same average node degree conditions, the complex network of several basic models subject to different distribution, Entropy their structures at different levels, more directly reflect the different networks and orderly system the difference. Then from the formation of dissipative structures conditions of the complex network evolution, found complex network nodes according to a simple mechanism with the new node connectivity, network nodes between the edge of the disconnect or re-connected network nodes distribution change Network nodes and the adaptability of nature embodies elements of the system of nonlinear interactions between, is a systematic and orderly form of internal factors, along with competition, self-organizing system is the result of evolution.Finally, the paper on the use of matrix theory to describe the complex network of basic features. Because the complex network can be seen as by the various nodes and nodes between the edges, This matrix can be used to study the theory of complex networks, The main task is to describe complex network of the basic features: The average path length, Clustering coefficient and the degree and distribution matrix method to show up. From the examples given, we can see the use for the complex matrix of the basic characteristics of the network to the calculation brought great convenience. Finally, the next step has to work on the work and direction.