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On non-linear dynamics and control designs applied to the ideal and non-ideal variants of the Fitzhugh-Nagumo (FN) mathematical model

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dc.contributor.authorChavarette, Fábio Roberto
dc.contributor.authorBalthazar, José Manoel [UNESP]
dc.contributor.authorPeruzzi, Nelson José [UNESP]
dc.contributor.authorRafikov, Marat
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.date.accessioned2013-09-30T17:50:45Z
dc.date.accessioned2014-05-20T14:16:08Z
dc.date.available2013-09-30T17:50:45Z
dc.date.available2014-05-20T14:16:08Z
dc.date.issued2009-03-01
dc.description.abstractThe Fitzhugh-Nagumo (FH) mathematical model is considered a simplification of the Hodgkin-Huxley (HH) model. This paper analyzes the non-linear dynamics of the Fitzhugh-Nagumo (FN) mathematical model, and still presents some modifications in the governing equations of the system in order to transform it into it non-ideal one (taking into account that all energy Source has limited power supply). We also developed all optimal linear control design and used Sinhas's theory for the membrane's action potential in order to stabilize the variation of this potential. (C) 2007 Elsevier B.V. All rights reserved.en
dc.description.affiliationUNESP Rio Claro, BR-13500230 Rio Claro, SP, Brazil
dc.description.affiliationUniv Estadual Campinas, Dept Mech Design, BR-13083970 Campinas, SP, Brazil
dc.description.affiliationUNESP Jaboticabal, BR-14884900 Jaboticabal, SP, Brazil
dc.description.affiliationUnespUNESP Rio Claro, BR-13500230 Rio Claro, SP, Brazil
dc.description.affiliationUnespUNESP Jaboticabal, BR-14884900 Jaboticabal, SP, Brazil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.format.extent892-905
dc.identifierhttp://dx.doi.org/10.1016/j.cnsns.2007.10.016
dc.identifier.citationCommunications In Nonlinear Science and Numerical Simulation. Amsterdam: Elsevier B.V., v. 14, n. 3, p. 892-905, 2009.
dc.identifier.doi10.1016/j.cnsns.2007.10.016
dc.identifier.issn1007-5704
dc.identifier.lattes6152914891371726
dc.identifier.lattes5723359885365339
dc.identifier.orcid0000-0002-1203-7586
dc.identifier.urihttp://hdl.handle.net/11449/24853
dc.identifier.wosWOS:000260280100023
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulation
dc.relation.ispartofjcr3.181
dc.relation.ispartofsjr1,372
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectNon-linear dynamicsen
dc.subjectFitzhugh-Nagumo modelen
dc.subjectL-F transformationen
dc.titleOn non-linear dynamics and control designs applied to the ideal and non-ideal variants of the Fitzhugh-Nagumo (FN) mathematical modelen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
dspace.entity.typePublication
unesp.author.lattes6152914891371726
unesp.author.lattes5723359885365339(1)
unesp.author.orcid0000-0002-1203-7586(1)
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claropt
unesp.campusUniversidade Estadual Paulista (UNESP), Faculdade de Ciências Agrárias e Veterinárias, Jaboticabalpt
unesp.campusUniversidade Estadual Paulista (UNESP), Faculdade de Engenharia, Ilha Solteirapt
unesp.departmentCiências Exatas - FCAVpt
unesp.departmentMatemática - FEISEstatística, Matemática Aplicada e Computação - IGCEpt

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Coleções

Ilha Solteira - FEIS - Faculdade de Engenharia
Jaboticabal - FCAV - Faculdade de Ciências Agrárias e Veterinárias
Rio Claro - IGCE - Instituto de Geociências e Ciências Exatas