Analytical results on a Wilson-Cowan neuronal network modified model

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dc.contributor.authorMonteiro L.H.A.
dc.contributor.authorBussab M.A.
dc.contributor.authorChaui Berlinck J.G.
dc.date.accessioned2024-03-13T01:46:48Z
dc.date.available2024-03-13T01:46:48Z
dc.date.issued2002
dc.description.abstractWilson-Cowan model is employed in studies concerning neuronal networks. This model consists of two nonlinear differential equations that represent the interaction between excitatory and inhibitory populations of neurons. The mutual influence of these populations is described through a sigmoidal function, which is usually chosen as the hyperbolic tangent or the logistic curve. Both choices make difficult theoretical analyses. Here we choose another sigmoidal function and analytically obtain the set of parameter values for which an asymptotically stable limit cycle exists. This result is potentially useful to analytical and numerical works on the binding problem, which is the problem of creating a coherent representation of objects from the oscillatory activity of spatially separated cortical columns. © 2002 Elsevier Science Ltd. All rights reserved.
dc.description.firstpage83
dc.description.issuenumber1
dc.description.lastpage91
dc.description.volume219
dc.identifier.doi10.1016/S0022-5193(02)93111-5
dc.identifier.issn0022-5193
dc.identifier.urihttps://dspace.mackenzie.br/handle/10899/38028
dc.relation.ispartofJournal of Theoretical Biology
dc.rightsAcesso Restrito
dc.titleAnalytical results on a Wilson-Cowan neuronal network modified model
dc.typeArtigo
local.scopus.citations21
local.scopus.eid2-s2.0-0036423958
local.scopus.updated2024-05-01
local.scopus.urlhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=0036423958&origin=inward
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