PMID: 15245324Jul 13, 2004Paper

Scaling of directed dynamical small-world networks with random responses

Physical Review Letters
Chen-Ping ZhuKe-Sheng Jiang

Abstract

A dynamical model of small-world networks, with directed links which describe various correlations in social and natural phenomena, is presented. Random responses of sites to the input message are introduced to simulate real systems. The interplay of these ingredients results in the collective dynamical evolution of a spinlike variable S(t) of the whole network. The global average spreading length <L>(s) and average spreading time <T>(s) are found to scale as p(-alpha)ln(N with different exponents. Meanwhile, S(t) behaves in a duple scaling form for N>N(*): S approximately f(p(-beta)q(gamma)t), where p and q are rewiring and external parameters, alpha, beta, and gamma are scaling exponents, and f(t) is a universal function. Possible applications of the model are discussed.

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Citations

May 30, 2013·PloS One·Antonella Liccardo, Annalisa Fierro
Mar 24, 2005·Journal of Theoretical Biology·Jari Saramäki, Kimmo Kaski
Oct 6, 2006·IEEE Transactions on Bio-medical Engineering·Ying ChenJun Wang
May 5, 2005·Annual Review of Biophysics and Biomolecular Structure·Avi Ma'ayanRavi Iyengar
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tao ZhouBing-Hong Wang
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ming ZhaoWen-Xu Wang
Dec 13, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Liang TianTao Zhou
Feb 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tao ZhouBing-Hong Wang
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Guimei ZhuBaowen Li
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhongke Gao, Ningde Jin
Mar 5, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Li WangZhi-Ming Gu

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