Singular impasse points of planar constrained differential systems

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dc.contributor.authorPerez, Otavio Henrique [UNESP]
dc.contributor.authorda Silva, Paulo Ricardo [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionInstituto Federal de Educação Ciência e Tecnologia de São Paulo (IFSP)
dc.date.accessioned2023-07-29T14:02:10Z
dc.date.available2023-07-29T14:02:10Z
dc.date.issued2022-12-01
dc.description.abstractPlanar analytic constrained differential systems (or impasse systems) are given by (Formular Presented) where F is a vector field and A is a matrix valued function. This class of systems differs from classical ODE’s due to existence of the so called impasse set ∆ = {x : det A(x) = 0}. The dynamics near smooth impasse points is well known in the literature (see for instance [17, 28, 31]). In this paper, we use Newton polygon and weighted blow ups in order to study its phase portrait near singular points of ∆. Moreover, we apply our results in electric circuit problems.en
dc.description.affiliationInstitute of Biosciences Humanities and Exact Sciences São Paulo State University (UNESP), Rua C. Colombo, 2265, S. J. Rio Preto
dc.description.affiliationInstituto Federal de Educação Ciência e Tecnologia de São Paulo (IFSP), R. Sebastião Pierri 250, Araraquara
dc.description.affiliationUnespInstitute of Biosciences Humanities and Exact Sciences São Paulo State University (UNESP), Rua C. Colombo, 2265, S. J. Rio Preto
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIdCAPES: 001
dc.description.sponsorshipIdFAPESP: 2016/22310-0
dc.description.sponsorshipIdFAPESP: 2018/24692-2
dc.description.sponsorshipIdFAPESP: 2019/10269-3
dc.format.extent611-643
dc.identifierhttp://dx.doi.org/10.36045/j.bbms.220602
dc.identifier.citationBulletin of the Belgian Mathematical Society - Simon Stevin, v. 29, n. 5, p. 611-643, 2022.
dc.identifier.doi10.36045/j.bbms.220602
dc.identifier.issn1370-1444
dc.identifier.scopus2-s2.0-85160509391
dc.identifier.urihttp://hdl.handle.net/11449/249091
dc.language.isoeng
dc.relation.ispartofBulletin of the Belgian Mathematical Society - Simon Stevin
dc.sourceScopus
dc.subjectblow ups
dc.subjectConstrained differential systems
dc.subjectimpasses
dc.subjectsingular perturbations
dc.subjecttopological equivalence
dc.titleSingular impasse points of planar constrained differential systemsen
dc.typeArtigo

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