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dc.contributor.authorToniol Cardin, Pedro [UNESP]
dc.contributor.authorTeixeira, Marco Antonio
dc.identifier.citationMathematische Nachrichten, v. 292, n. 4, p. 892-904, 2019.
dc.description.abstractThis paper is concerned with a geometric study of (𝑛n−1)-parameter families of constrained differential systems, where n≥ 2. Our main results say that the dynamics of such a family close to the impasse set is equivalent to the dynamics of a multiple time scale singular perturbation problem (that is a singularly perturbed system containing several small parameters). This enables us to use a geometric theory for multiscale systems in order to describe the behaviour of such a family close to the impasse set. We think that a systematic program towards a combination between geometric singular perturbation theory and constrained systems and problems involving persistence of typical minimal sets are currently emergent. Some illustrations and applications of the main results are provided.en
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.relation.ispartofMathematische Nachrichten
dc.subjectconstrained systems
dc.subjectmultiple time scales
dc.subjectsingular perturbation problems
dc.titleA geometric singular perturbation theory approach to constrained differential equationsen
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.description.affiliationUniversidade Estadual Paulista (UNESP) Faculdade de Engenharia
dc.description.affiliationUniversidade Estadual de Campinas (UNICAMP) Instituto de Matemática Estatística e Computação Científica
dc.description.affiliationUnespUniversidade Estadual Paulista (UNESP) Faculdade de Engenharia
dc.rights.accessRightsAcesso restrito
dc.description.sponsorshipIdFAPESP: 2012/18780-0
dc.description.sponsorshipIdFAPESP: 2013/24541-0
dc.description.sponsorshipIdCNPq: 300596/2009-0
dc.description.sponsorshipIdCAPES: 88881.030454/2013-01
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