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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/42376
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dc.contributor.authorLlibre, Jaume-
dc.contributor.authorda Silva, Paulo R.-
dc.contributor.authorTeixeira, Marco A.-
dc.date.accessioned2014-05-20T15:33:58Z-
dc.date.accessioned2016-10-25T18:10:36Z-
dc.date.available2014-05-20T15:33:58Z-
dc.date.available2016-10-25T18:10:36Z-
dc.date.issued2009-01-01-
dc.identifierhttp://dx.doi.org/10.1137/080722886-
dc.identifier.citationSiam Journal on Applied Dynamical Systems. Philadelphia: Siam Publications, v. 8, n. 1, p. 508-526, 2009.-
dc.identifier.issn1536-0040-
dc.identifier.urihttp://hdl.handle.net/11449/42376-
dc.identifier.urihttp://acervodigital.unesp.br/handle/11449/42376-
dc.description.abstractIn this article we describe some qualitative and geometric aspects of nonsmooth dynamical systems theory around typical singularities. We also establish an interaction between nonsmooth systems and geometric singular perturbation theory. Such systems are represented by discontinuous vector fields on R(l), l >= 2, where their discontinuity set is a codimension one algebraic variety. By means of a regularization process proceeded by a blow-up technique we are able to bring about some results that bridge the space between discontinuous systems and singularly perturbed smooth systems. We also present an analysis of a subclass of discontinuous vector fields that present transient behavior in the 2-dimensional case, and we dedicate a section to providing sufficient conditions in order for our systems to have local asymptotic stability.en
dc.description.sponsorshipCICYT-
dc.format.extent508-526-
dc.language.isoeng-
dc.publisherSiam Publications-
dc.sourceWeb of Science-
dc.subjectRegularizationen
dc.subjectVector fieldsen
dc.subjectSingular perturbationen
dc.subjectDiscontinuous vector fieldsen
dc.subjectSliding vector fielden
dc.titleStudy of Singularities in Nonsmooth Dynamical Systems via Singular Perturbationen
dc.typeoutro-
dc.contributor.institutionUniv Autonoma Barcelona-
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)-
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)-
dc.description.affiliationUniv Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain-
dc.description.affiliationIMECC UNICAMP, BR-13081970 São Paulo, Brazil-
dc.description.affiliationIBILCE UNESP, Dept Matemat, BR-15054000 São Paulo, Brazil-
dc.description.affiliationUnespIBILCE UNESP, Dept Matemat, BR-15054000 São Paulo, Brazil-
dc.description.sponsorshipIdCICYT: 2005SGR 00550-
dc.description.sponsorshipIdMTM2005-06098-C02-01-
dc.identifier.doi10.1137/080722886-
dc.identifier.wosWOS:000265777800020-
dc.rights.accessRightsAcesso restrito-
dc.identifier.fileWOS000265777800020.pdf-
dc.relation.ispartofSiam Journal on Applied Dynamical Systems-
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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