Deterministic Bak-Sneppen model. Lyapunov spectrum and avalanches as return times

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dc.creatorMendes, R. Vilela
dc.date2004-09-30
dc.date.accessioned2026-07-07T06:34:03Z
dc.date.available2026-07-07T06:34:03Z
dc.descriptionA deterministic version of the Bak-Sneppen model is studied. The role of the Lyapunov spectrum in the onset of scale-free behavior is established and avalanches are interpreted as return times to a zero-measure set. The problem of accurate determination of the scaling exponents near the critical barrier is addressed using a characteristic function approach. A general equation for return times to a small measure set is established and used to obtain information on the nature of Bak-Sneppen dynamics.
dc.description16 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/nlin/0409064
dc.identifierhttp://arxiv.org/abs/nlin/0409064
dc.identifierPhysica D 214 (2006) 182-186
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99400
dc.subjectAdaptation and Self-Organizing Systems
dc.titleDeterministic Bak-Sneppen model. Lyapunov spectrum and avalanches as return times
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