Peixoto's Theorem for vector fields on S2 with impasse points

dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorUFG
dc.date.accessioned2014-05-27T11:30:31Z
dc.date.accessioned2022-10-05T18:58:09Z
dc.date.available2014-05-27T11:30:31Z
dc.date.available2022-10-05T18:58:09Z
dc.date.created2014-05-27T11:30:31Z
dc.date.issued2013-09-01
dc.identifierBulletin des Sciences Mathematiques, v. 137, n. 6, p. 691-704, 2013.
dc.identifier0007-4497
dc.identifierhttp://hdl.handle.net/11449/76393
dc.identifier10.1016/j.bulsci.2013.01.003
dc.identifierWOS:000325732600001
dc.identifier2-s2.0-84884208785
dc.identifier6682867760717445
dc.identifier0000-0003-2037-8417
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/3925283
dc.description.abstractThe structural stability of vector fields with impasse regular curves on S2 is studied and a version of Peixoto's Theorem is established. Moreover a global analysis of normal forms of the constrained systems. A(x).ẋ=F(x),x∈R3,A∈M(3),F:R3→R3 in the Poincaré ball (i.e. in the compactification of R3 with the sphere S2 of the infinity) is made. © 2013 Elsevier Masson SAS.
dc.languageeng
dc.relationBulletin des Sciences Mathematiques
dc.relation0.774
dc.relation0,960
dc.rightsAcesso restrito
dc.sourceScopus
dc.subjectConstrained systems
dc.subjectDiscontinuous vector fields
dc.subjectRegularization
dc.subjectSingular perturbation
dc.subjectSliding vector fields
dc.subjectVector fields
dc.titlePeixoto's Theorem for vector fields on S2 with impasse points
dc.typeArtigo


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