Title :
The Propagation of Events in Small-World Networks Driven by Noise
Author :
Wang, Peng ; Wang, Yu ; Hämäläinen, Matti ; Lin, Zhangxi
Author_Institution :
Sch. of Economic Inf. Eng., Southwest Univ. of Finance & Econ., Chengdu, China
Abstract :
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.
Keywords :
Fokker-Planck equation; Gaussian noise; complex networks; dynamical symmetry; electronic commerce; network theory (graphs); Fokker-Planck algebraic structure; Fokker-Planck equation; algebraic dynamics theory; dynamical symmetry; event propagation; small world network; Complex networks; Educational institutions; Electronic commerce; Electronic mail; Finance; Generators; Algebraic Dynamics; Electronic commerce; Fokker-Planck equation; Small-world networks;
Conference_Titel :
Management of e-Commerce and e-Government (ICMeCG), 2010 Fourth International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-8507-9
DOI :
10.1109/ICMeCG.2010.26
