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

fYear

2010

fDate

23-24 Oct. 2010

Firstpage

90

Lastpage

95

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/ICMeCG.2010.26

Filename

5628637