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Generic Bifurcations of Planar Filippov Systems via Geometric Singular Perturbations

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dc.contributor.authorde Carvalho, Tiago [UNESP]
dc.contributor.authorTonon, Durval Jose
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Federal de Goiás (UFG)
dc.date.accessioned2014-05-20T13:26:36Z
dc.date.available2014-05-20T13:26:36Z
dc.date.issued2011-01-01
dc.description.abstractIn this paper we deal with non-smooth vector fields on the plane. We prove that the analysis of their local behavior around certain typical singularities can be treated via singular perturbation theory. In fact, after a regularization of a such system and a blow-up we are able to bring out some results that bridge the space between non-smooth dynamical systems presenting typical singularities and singularly perturbed smooth systems.en
dc.description.affiliationIBILCE UNESP, BR-15054000 São Paulo, Brazil
dc.description.affiliationUniversidade Federal de Goiás (UFG), IME, BR-74001970 Goiania, Go, Brazil
dc.description.affiliationUnespIBILCE UNESP, BR-15054000 São Paulo, Brazil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipUFG/Brazil
dc.description.sponsorshipIdFAPESP: 07/08707-5
dc.description.sponsorshipIdFAPESP: 10/18190-2
dc.description.sponsorshipIdUFG/Brazil: 35796
dc.description.sponsorshipIdUFG/Brazil: 35797
dc.format.extent861-881
dc.identifierhttp://projecteuclid.org/euclid.bbms/1323787173
dc.identifier.citationBulletin of The Belgian Mathematical Society-simon Stevin. Brussels: Belgian Mathematical Soc Triomphe, v. 18, n. 5, p. 861-881, 2011.
dc.identifier.issn1370-1444
dc.identifier.urihttp://hdl.handle.net/11449/8602
dc.identifier.wosWOS:000300125400009
dc.language.isoeng
dc.publisherBelgian Mathematical Soc Triomphe
dc.relation.ispartofBulletin of the Belgian Mathematical Society - Simon Stevin
dc.relation.ispartofjcr0.423
dc.relation.ispartofsjr0,527
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectgeometric singular perturbationen
dc.subjectnon-smooth vector fieldsen
dc.subjectbifurcationen
dc.subjectfold-fold singularityen
dc.titleGeneric Bifurcations of Planar Filippov Systems via Geometric Singular Perturbationsen
dc.typeArtigo
dcterms.licensehttp://www.dukeupress.edu/Assets/Downloads/dup_license_prime.pdf
dcterms.rightsHolderBelgian Mathematical Soc Triomphe
dspace.entity.typePublication
unesp.author.orcid0000-0003-3927-938X[1]

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