Regularization of discontinuous vector fields on R-3 via singular perturbation

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dc.contributor.authorLlibre, Jaume
dc.contributor.authorda Silva, Paulo R.
dc.contributor.authorTeixeira, Marco A.
dc.contributor.institutionUniv Autonoma Barcelona
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.date.accessioned2014-05-20T15:23:25Z
dc.date.available2014-05-20T15:23:25Z
dc.date.issued2007-06-01
dc.description.abstractSingular perturbations problems in dimension three which are approximations of discontinuous vector fields are studied in this paper. The main result states that the regularization process developed by Sotomayor and Teixeira produces a singular problem for which the discontinuous set is a center manifold. Moreover, the definition of' sliding vector field coincides with the reduced problem of the corresponding singular problem for a class of vector fields.en
dc.description.affiliationUniv Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain
dc.description.affiliationUNESP, IBILCE, Dept Matemat, BR-15054000 Sao Jao Rio Preto, SP, Brazil
dc.description.affiliationUniv Estadual Campinas, Imecc, BR-13081970 Campinas, SP, Brazil
dc.description.affiliationUnespUNESP, IBILCE, Dept Matemat, BR-15054000 Sao Jao Rio Preto, SP, Brazil
dc.format.extent309-331
dc.identifierhttp://dx.doi.org/10.1007/s10884-006-9057-7
dc.identifier.citationJournal of Dynamics and Differential Equations. New York: Springer, v. 19, n. 2, p. 309-331, 2007.
dc.identifier.doi10.1007/s10884-006-9057-7
dc.identifier.issn1040-7294
dc.identifier.urihttp://hdl.handle.net/11449/34214
dc.identifier.wosWOS:000247355000003
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.subjectregularizationpt
dc.subjectvector fieldspt
dc.subjectsingular perturbationpt
dc.subjectdiscontinuous vector fieldspt
dc.titleRegularization of discontinuous vector fields on R-3 via singular perturbationen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer
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