dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorUniversidade Estadual de Campinas (UNICAMP)
dc.contributorUniversidade Federal de São Carlos (UFSCar)
dc.date.accessioned2018-12-11T16:42:39Z
dc.date.available2018-12-11T16:42:39Z
dc.date.created2018-12-11T16:42:39Z
dc.date.issued2017-12-01
dc.identifierJournal of Dynamics and Differential Equations, v. 29, n. 4, p. 1519-1537, 2017.
dc.identifier1572-9222
dc.identifier1040-7294
dc.identifierhttp://hdl.handle.net/11449/168710
dc.identifier10.1007/s10884-016-9538-2
dc.identifier2-s2.0-84973137389
dc.identifier2-s2.0-84973137389.pdf
dc.description.abstractIn this article we deal with non-smooth dynamical systems expressed by a piecewise first order implicit differential equations of the form x˙=1,(y˙)2={g1(x,y)ifφ(x,y)≥0g2(x,y)ifφ(x,y)≤0,where g1, g2, φ: U→ R are smooth functions and U⊆ R2 is an open set. The main concern is to study sliding modes of such systems around some typical singularities. The novelty of our approach is that some singular perturbation problems of the form x˙=f(x,y,ε),(εy˙)2=g(x,y,ε)arise when the Sotomayor–Teixeira regularization is applied with (x, y) ∈ U , ε≥ 0 , and f, g smooth in all variables.
dc.languageeng
dc.relationJournal of Dynamics and Differential Equations
dc.relation1,208
dc.rightsAcesso aberto
dc.sourceScopus
dc.subjectImplicit differential equation
dc.subjectNon-smooth dynamical system
dc.subjectSingular perturbation
dc.subjectSliding vector fields
dc.titlePiecewise Implicit Differential Systems
dc.typeArtículos de revistas


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