On non-linear dynamics and a periodic control design applied to the potential of membrane action

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dc.contributor.authorChavarette, F. R.
dc.contributor.authorPeruzzi, N. J.
dc.contributor.authorBalthazar, José Manoel [UNESP]
dc.contributor.authorHermini, H. A.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T15:25:56Z
dc.date.available2014-05-20T15:25:56Z
dc.date.issued2006-01-01
dc.description.abstractThe Fitzhugh-Nagumo (fn) mathematical model characterizes the action potential of the membrane. The dynamics of the Fitzhugh-Nagumo model have been extensively studied both with a view to their biological implications and as a test bed for numerical methods, which can be applied to more complex models. This paper deals with the dynamics in the (FH) model. Here, the dynamics are analyzed, qualitatively, through the stability diagrams to the action potential of the membrane. Furthermore, we also analyze quantitatively the problem through the evaluation of Floquet multipliers. Finally, the nonlinear periodic problem is controlled, based on the Chebyshev polynomial expansion, the Picard iterative method and on Lyapunov-Floquet transformation (L-F transformation).en
dc.description.affiliationState Univ São Paulo Rio Claro, Dept Stat Appl Math & Computat, BR-13500230 Rio Claro, SP, Brazil
dc.description.affiliationUnespState Univ São Paulo Rio Claro, Dept Stat Appl Math & Computat, BR-13500230 Rio Claro, SP, Brazil
dc.format.extent47-54
dc.identifierhttp://dx.doi.org/10.4028/www.scientific.net/AMM.5-6.47
dc.identifier.citationModern Practice In Stress and Vibration Analysis Vi, Proceedings. Stafa-zurich: Trans Tech Publications Ltd, v. 5-6, p. 47-54, 2006.
dc.identifier.doi10.4028/www.scientific.net/AMM.5-6.47
dc.identifier.issn1660-9336
dc.identifier.urihttp://hdl.handle.net/11449/36249
dc.identifier.wosWOS:000241423300006
dc.language.isoeng
dc.publisherTrans Tech Publications Ltd
dc.relation.ispartofModern Practice In Stress and Vibration Analysis Vi, Proceedings
dc.relation.ispartofsjr0,117
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectaction potentialpt
dc.subjectnon-linear dynamicspt
dc.subjectFitzhugh-Nagumo modelpt
dc.subjectL-F transformationpt
dc.titleOn non-linear dynamics and a periodic control design applied to the potential of membrane actionen
dc.typeTrabalho apresentado em evento
dcterms.licensehttp://www.ttp.net/Downloads.html
dcterms.rightsHolderTrans Tech Publications Ltd
unesp.author.orcid0000-0001-9061-5751[2]
unesp.author.orcid0000-0002-1203-7586[1]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Geociências e Ciências Exatas, Rio Claropt

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Artigos - Estatistica, Matemática Aplicada e Computação - IGCE