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

Buzzi, Claudio A. [UNESP]da Silva, Paulo R. [UNESP]Medrado, João C.R.2014-05-272014-05-272013-09-01Bulletin des Sciences Mathematiques, v. 137, n. 6, p. 691-704, 2013.0007-4497http://hdl.handle.net/11449/76393The 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.691-704engConstrained systemsDiscontinuous vector fieldsRegularizationSingular perturbationSliding vector fieldsVector fieldsPeixoto's Theorem for vector fields on S2 with impasse pointsArtigo10.1016/j.bulsci.2013.01.003WOS:000325732600001Acesso restrito2-s2.0-8488420878566828677607174450000-0003-2037-8417