Continued Growth Of The Entropy-based Local World Network Model Of The Nature Of The Study

Complex networks describe a wide range of systems in nature and society.Much attention of physicists have been devoted to the dynamics behavior and the characteristic disciplinarian of the complex networks in recent years.But till now researchers can not understand the behavior of the system as a whole.especially.To the evolvement disciplinarian and physical mechanism in commonly complex networks,researchers still have no a clear cognition.With the growing interest in complex systems,many scientists have presented various theoretical developments in parallel with the empirical data that initiated and support the various models and theoretical tools from their own fields.In this thesis,I focus on a new model of complex networks and the mechanism of the scale-free structure,analyse its topology and stabilization with the way of entropy theory.On the base of the networks evolvement model in local word constructed by Li X,Chen G and the insertion-deletion-compensation model constructed by Tang FR,Cai SH,detailedly analyse the dynamics mechanism and physical meaning,point out its localization.Considering of the limitation of the B-A construction,I propose in this thesis the network evolvement model of lineafity growth in local world.The new model not only triumphantly explain the character of local,but also explain the phenomena which local scope sostenuto increasing,the method of consecutive medium and computer simulation indicate:when tâ†'∞,the new model will become the scale—free network finally,and the degree distribution will obey power—law distribution,γ=3.The result indicate that the non-uniformity distributing decide the networks character.In this paper,I analyse its topology and stabilization with the way of entropy theory too,The result indicate the augment or decrease of node and side will arouse entropy change in complex networks.The thesis mainly has the following innovation:(1) Have set up a new networks model which local scope sostenuto increasing,which is general and right even more than the networks evolvement model in local world.(2) Calculate the expression of degree distributing and simulate it.(3) propose and apply the theory of entropy to describing some properties of complex networks and analyse the phenomenon of entropy change because of the change of node and side.The theory of minus entropy can explain the properties of stabilization and synchronization in complex networks commendably.The result I attain in this paper accord what peoples attain by the other way.there are more clear cognition for the internal character of networks which has the character of durative increase in local world and farther understanding for the inner evolvement course.can analyse and discuss the complex networks that has the character in real world secundum this papers conclusion and adopt a series of relevant measure,so,the paper's study has actual application valus.research and analyse through being herein,can have further understanding to the dynamics model and the mechanism in complex networks.to how to constitute new model secundum the real networks and study the property have directive significance in theory.