Avalanche dynamics in Bak-Sneppen evolution model observed with standard distribution width of fitness

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dc.creatorLee, Chaohong
dc.creatorZhu, Xiwen
dc.creatorGao, Kelin
dc.date2001-11-13
dc.date.accessioned2026-07-07T06:33:59Z
dc.date.available2026-07-07T06:33:59Z
dc.descriptionWe introduce the standard distribution width of fitness to characterize the global and individual features of a ecosystem in the Bak-Sneppen evolution model. Through tracking this quantity in evolution, a different hierarchy of avalanche dynamics, $w_{0}$ avalanche is observed. The corresponding gap equation and the self-organized threshold $w_{c}$ are obtained. The critical exponents $τ,$ $γ$and $ρ$, which describe the behavior of the avalanche size distribution, the average avalanche size and the relaxation to attractor, respectively, are calculated with numerical simulation. The exact master equation and $γ$ equation are derived. And the scaling relations are established among the critical exponents of this new avalanche.
dc.description14 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/nlin/0111028
dc.identifierhttp://arxiv.org/abs/nlin/0111028
dc.identifierNonlinearity 16, 25 (2003)
dc.identifierdoi:10.1088/0951-7715/16/1/302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99378
dc.subjectAdaptation and Self-Organizing Systems
dc.titleAvalanche dynamics in Bak-Sneppen evolution model observed with standard distribution width of fitness
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