2017-06-142016-05-13FREITAS, B. R. Ciclos limite e superfícies invariantes em sistemas diferenciais. 2016. 143 f. Tese (Doutorado em Matemática) - Universidade Federal de Goiás, Goiânia, 2016.http://repositorio.bc.ufg.br/tede/handle/tede/7462We consider a class of piecewise linear di erential systems in R3 separated by a plane and we study its global and local dynamics. More precisely, we give conditions to the existence of invariant surfaces and limit cycles, presenting the maximum number of limit cycles and characterizing these invariant surfaces. Also, we obtain results about the T-singularity obtained by a perturbation of piecewise linear di erential systems. In our approach, we use many techniques, as an extension of the theorem’s Rolle for vector fields, Theory of Sturm’s sequence, extendedcomplete Tchebyche systems and extensions of Averaging theory.application/pdfAcesso AbertoSistemas diferenciais lineares por partesSuperfícies invariantesCiclos limiteT-singularidadePiecewise linear di erential systemInvariant surfacesLimit cyclesT-singularityCIENCIAS EXATAS E DA TERRA::MATEMATICATese