Dynamic range of hypercubic stochastic excitable media

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dc.creatorAssis, Vladimir R. V.
dc.creatorCopelli, Mauro
dc.date2007-07-02
dc.date2008-02-13
dc.date.accessioned2026-07-07T09:20:03Z
dc.date.available2026-07-07T09:20:03Z
dc.descriptionWe study the response properties of d-dimensional hypercubic excitable networks to a stochastic stimulus. Each site, modelled either by a three-state stochastic susceptible-infected-recovered-susceptible system or by the probabilistic Greenberg-Hastings cellular automaton, is continuously and independently stimulated by an external Poisson rate h. The response function (mean density of active sites rho versus h) is obtained via simulations (for d=1, 2, 3, 4) and mean field approximations at the single-site and pair levels (for all d). In any dimension, the dynamic range of the response function is maximized precisely at the nonequilibrium phase transition to self-sustained activity, in agreement with a reasoning recently proposed. Moreover, the maximum dynamic range attained at a given dimension d is a decreasing function of d.
dc.description7 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0707.0309
dc.identifierhttp://arxiv.org/abs/0707.0309
dc.identifierPhys. Rev. E 77, 011923 (2008)
dc.identifierdoi:10.1103/PhysRevE.77.011923
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154610
dc.subjectNeurons and Cognition
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.subjectCellular Automata and Lattice Gases
dc.subjectBiological Physics
dc.titleDynamic range of hypercubic stochastic excitable media
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