A self-organized particle moving model on scale free network with $1/f^{2}$ behavior

dc.creatorChang, YunFeng
dc.creatorGuo, Long
dc.creatorCai, Xu
dc.date2006-10-20
dc.date2006-10-31
dc.date.accessioned2026-07-07T07:29:44Z
dc.date.available2026-07-07T07:29:44Z
dc.descriptionIn this paper we propose a self-organized particle moving model on scale free network with the algorithm of the shortest path and preferential walk. The over-capacity property of the vertices in this particle moving system on complex network is studied from the holistic point of view. Simulation results show that the number of over-capacity vertices forms punctuated equilibrium processes as time elapsing, that the average number of over-capacity vertices under each local punctuated equilibrium process has power law relationship with the local punctuated equilibrium value. What's more, the number of over-capacity vertices has the bell-shaped temporal correlation and $1/f^{2}$ behavior. Finally, the average lifetime $L(t)$ of particles accumulated before time $t$ is analyzed to find the different roles of the shortest path algorithm and the preferential walk algorithm in our model.
dc.description8 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/nlin/0610047
dc.identifierhttp://arxiv.org/abs/nlin/0610047
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118226
dc.subjectAdaptation and Self-Organizing Systems
dc.titleA self-organized particle moving model on scale free network with $1/f^{2}$ behavior
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