The Propagation of Events in Small-World Networks Driven by Noise

摘要：

The propagation of events or influence in small-world networks is a very important issue. Based on previous researches, we study the case that the propagation is driven by noise. We establish a model which is a generalized Fokker-Planck equation(FPE) about the evolution probability of influence volume. In order to make it more practical, coefficients in the FPE are made time-dependent. We found the algebraic structure and dynamical symmetry of this FPE. By means of algebraic dynamics theory, the exact solutions of this FPE are presented. At last, the evolution of the probability of the influence volume is considered.

关键词： small-world networks electronic commerce fokker-pianck equation algebraic dynamics

作者: Peng Wang Yu Wang Matti Haemaelaeinen Zhangxi Lin

作者单位: School of Economic Information Engineering,Southwest University of Finance and Economics,Chengdu, Ch SoberIT, Department of Computer Science and Engineering,Aalto University,Aalto, Finland School of Economic Information Engineering,Southwest University of Finance and Economics,Chengdu, Ch

会议类型: 国际会议

会议名称: 2010 International Conference on Management of e-Commerce and e-Government(第四届电子商务与电子政务管理国际会议 ICMeCG 2010)

会议地点: 成都

会议语种:英文

页码: 90-95

在线出版日期: 2010-10-23（万方平台首次上网日期，不代表论文的发表时间）