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Synchronization and Non-Smooth Dynamical Systems

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dc.contributor.authorLlibre, Jaume
dc.contributor.authorda Silva, Paulo R. [UNESP]
dc.contributor.authorTeixeira, Marco A.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniv Autonoma Barcelona
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.date.accessioned2014-05-20T14:02:54Z
dc.date.available2014-05-20T14:02:54Z
dc.date.issued2012-03-01
dc.description.abstractIn this article we establish an interaction between non-smooth systems, geometric singular perturbation theory and synchronization phenomena. We find conditions for a non-smooth vector fields be locally synchronized. Moreover its regularization provide a singular perturbation problem with attracting critical manifold. We also state a result about the synchronizationwhich occurs in the regularization of the fold-fold case. We restrict ourselves to the 3-dimensional systems (l = 3) and consider the case known as a T-singularity.en
dc.description.affiliationUniv Estadual Paulista, Dept Matemat, IBILCE, BR-15054000 São Paulo, Brazil
dc.description.affiliationUniv Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
dc.description.affiliationUniv Estadual Campinas, IMECC, BR-13081970 Campinas, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Dept Matemat, IBILCE, BR-15054000 São Paulo, Brazil
dc.description.sponsorshipMICIIN/FEDER
dc.description.sponsorshipGeneralitat de Catalunya
dc.description.sponsorshipICREA Academia
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipIdMICIIN/FEDER: MTM2008-03437
dc.description.sponsorshipIdGeneralitat de Catalunya: 2009SGR-410
dc.description.sponsorshipIdPHB-2009-0025
dc.identifierhttp://dx.doi.org/10.1007/s10884-012-9239-4
dc.identifier.citationJournal of Dynamics and Differential Equations. New York: Springer, v. 24, n. 1, p. 1-12, 2012.
dc.identifier.doi10.1007/s10884-012-9239-4
dc.identifier.issn1040-7294
dc.identifier.urihttp://hdl.handle.net/11449/22161
dc.identifier.wosWOS:000303885800001
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofJournal of Dynamics and Differential Equations
dc.relation.ispartofjcr1.131
dc.relation.ispartofsjr1,208
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectRegularizationen
dc.subjectVector fielden
dc.subjectConstrained systemen
dc.subjectSingular perturbationen
dc.subjectNon-smooth vector fielden
dc.subjectSliding vector fielden
dc.subjectSynchronizationen
dc.titleSynchronization and Non-Smooth Dynamical Systemsen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas