Scaling in directed dynamical small-world networks with random responses
Abstract
A dynamical model of small-world network, with directed links which describe various correlations in social and natural phenomena, is presented. Random responses of every site to the imput message are introduced to simulate real systems. The interplay of these ingredients results in collective dynamical evolution of a spin-like variable S(t) of the whole network. In the present model, global average spreading length \langel L >_s and average spreading time <T >_s are found to scale as p^-\alpha ln N with different exponents. Meanwhile, S behaves in a duple scaling form for N>>N^*: S ~ f(p^-\beta q^\gamma t'_sc), where p and q are rewiring and external parameters, \alpha, \beta, \gamma and f(t'_sc) are scaling exponents and universal functions, respectively. Possible applications of the model are discussed.
Cite
@article{arxiv.cond-mat/0312179,
title = {Scaling in directed dynamical small-world networks with random responses},
author = {Chen-Ping Zhu and Shi-Jie Xiong and Ying-Jie Tian and Lan Li and Ke-Sheng Jiang},
journal= {arXiv preprint arXiv:cond-mat/0312179},
year = {2009}
}
Comments
4 pages, 6 Figures