Stability diagrams for bursting neurons modeled by three-variable maps

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dc.creatorCopelli, M.
dc.creatorTragtenberg, M. H. R.
dc.creatorKinouchi, O.
dc.date2004-02-13
dc.date.accessioned2026-07-07T06:25:07Z
dc.date.available2026-07-07T06:25:07Z
dc.descriptionWe study a simple map as a minimal model of excitable cells. The map has two fast variables which mimic the behavior of class I neurons, undergoing a sub-critical Hopf bifurcation. Adding a third slow variable allows the system to present bursts and other interesting biological behaviors. Bifurcation lines which locate the excitability region are obtained for different planes in parameter space.
dc.description7 pages, 3 figures, accepted for publication
dc.identifierhttps://arxiv.org/abs/q-bio/0402031
dc.identifierhttp://arxiv.org/abs/q-bio/0402031
dc.identifierPhysica A, 342, 263-269 (2004)
dc.identifierdoi:10.1016/j.physa.2004.04.087
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96757
dc.subjectNeurons and Cognition
dc.subjectDisordered Systems and Neural Networks
dc.subjectChaotic Dynamics
dc.subjectBiological Physics
dc.titleStability diagrams for bursting neurons modeled by three-variable maps
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