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dc.contributor.authorPérez Cervera, Alberto
dc.contributor.authorHuguet Casades, Gemma
dc.contributor.authorMartínez-Seara Alonso, M. Teresa
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.identifier.citationPerez, A., Huguet, G., Martinez-seara, T. Computation of invariant curves in the analysis of periodically forced neural oscillators. A: "Nonlinear systems, Vol 2. nonlinear phenomena in biology, optics and condensed matter.". Berlín: Springer, 2018, p. 63-81.
dc.description.abstractBackground oscillations, reflecting the excitability of neurons, are ubiq- uitous in the brain. Some studies have conjectured that when spikes sent by one population reach the other population in the peaks of excitability, then informa- tion transmission between two oscillating neuronal groups is more effective. In this context, phase locking relationships between oscillating neuronal populations may have implications in neuronal communication as they assure synchronous activity between brain areas. To study this relationship, we consider a population rate model and perturb it with a time-dependent input. We use the stroboscopic map and apply powerful computational methods to compute the invariant objects and their bifur- cations as the perturbation parameters (frequency and amplitude) are varied. The analysis performed shows the relationship between the appearance of synchronous and asynchronous regimes and the invariant objects of the stroboscopic map.
dc.format.extent19 p.
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshDifferentiable dynamical systems
dc.subject.otherphase locking
dc.subject.otherstroboscopic map
dc.subject.otherinvariant curves
dc.subject.otherrotation number
dc.titleComputation of invariant curves in the analysis of periodically forced neural oscillators
dc.typePart of book or chapter of book
dc.subject.lemacSistemes dinàmics diferenciables
dc.contributor.groupUniversitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
dc.description.versionPostprint (author's final draft)
local.citation.authorPerez, A.; Huguet, G.; Martinez-seara, Tere
local.citation.publicationNameNonlinear systems, Vol 2. nonlinear phenomena in biology, optics and condensed matter.

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