The Research Of The Forget And Remember Mechanism In Information Spreading Of Weighted Networks

Complex system exists in the nature and society in various form.In recent years, the deep research of complex networks improve the development of complex system physics and makes itself to be the frontiers of the complexity science in the 21th century.information spreading which has the clustering characteristic is a universal phenomenon in the nature and society,and it is one of the most important research directions in complexity science.Research about the networks' topology and dynamics mechanism is the subject which affects many scholars home and abroad.The purpose of this paper is to study the information spreading on weighted networks under the forget-remember mechanism(FRM).The main research is as follows:In the first part,this paper summarizes the case of complex networks;reviews the history of complex networks and introduces the basic concepts and the main models of complexity networks and their basic properties.And then it discusses the epidemic spreading models and make the comparative analysis between their immunizatiion strategy.To be the basic of this work,we also discuss the two-state,three-state and four-state model of the information spreading networks.In the second part,we define the spreading rate related to the weight between the node and his neighbors.The larger the weight is,the rate that the sources of information spread information to its neighbor is higher.Under the rule,we consider the breadth of the information spreading evolve with the time step in different spreading rate parameters (α).With computer simulation,we fine:αis little,the breadth of the information spreading gets to stable more easily,and the cost is large too;the larger dispersion of the weight is,the larger the breadth of the information spreading is;the vertex which gets information always spreads information to its neighbor whose strength(the total of its weight) is larger firstly.In the third part,we introduce a mechanism-the forget-remember mechanism (FRM) into the spreading process under a certain spreading rate parameter.The mechanism considers the influence from the vertex itself.A vertex can forget the "message"received and remember the one forgotten in the spreading system with the FRM.With computer simulation,we fine:the breadth of the information spreading reaches to stabilization more slowly unter the mechanism than the situation without FRM with the same condition;the strength of the information source has no influence on the breadth of the information spreading evolve with the time step;under certain spreading rate parameter and certain forget rate parameter,when the parameter of remember rate is 0.5,the the breadth of the information spreading is the largest.Our paPer simulated the process of information spreading which involve important theoretical significance for further pursuing the basical characters of the complicate system by physical ideas and mathmatical tools.