Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/21866
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dc.contributor.authorGonzález-Miranda, J. M. (Jesús Manuel)cat
dc.date.accessioned2012-02-10T08:23:19Z-
dc.date.available2012-02-10T08:23:19Z-
dc.date.issued2003-
dc.identifier.issn1054-1500-
dc.identifier.urihttp://hdl.handle.net/2445/21866-
dc.description.abstractInterior crises are understood as discontinuous changes of the size of a chaotic attractor that occur when an unstable periodic orbit collides with the chaotic attractor. We present here numerical evidence and theoretical reasoning which prove the existence of a chaos-chaos transition in which the change of the attractor size is sudden but continuous. This occurs in the Hindmarsh¿Rose model of a neuron, at the transition point between the bursting and spiking dynamics, which are two different dynamic behaviors that this system is able to present. Moreover, besides the change in attractor size, other significant properties of the system undergoing the transitions do change in a relevant qualitative way. The mechanism for such transition is understood in terms of a simple one-dimensional map whose dynamics undergoes a crossover between two different universal behaviorseng
dc.format.extent8 p.-
dc.format.mimetypeapplication/pdf-
dc.language.isoengeng
dc.publisherAmerican Institute of Physics-
dc.relation.isformatofReproducció del document publicat a: http://dx.doi.org/10.1063/1.1594851-
dc.relation.ispartofChaos, 2003, vol. 13, núm. 3, p. 845-852-
dc.relation.urihttp://dx.doi.org/10.1063/1.1594851-
dc.rights(c) American Institute of Physics, 2003-
dc.subject.classificationBiofísicacat
dc.subject.classificationFísica mèdicacat
dc.subject.classificationFísica estadísticacat
dc.subject.classificationTermodinàmicacat
dc.subject.classificationSistemes dinàmics diferenciablescat
dc.subject.otherBiophysicseng
dc.subject.otherMedical physicseng
dc.subject.otherStatistical physicseng
dc.subject.otherThermodynamicseng
dc.subject.otherDifferentiable dynamical systemseng
dc.titleObservation of a continuous interior crisis in the Hindmarsh-Rose neuron model.eng
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.identifier.idgrec527408-
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess-
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

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