2017-03-222017-03-07CESPEDES, O. A. R. Ciclos limite e singularidades típicas de sistemas de equações diferenciais suaves por partes. 2017. 99 f. Tese (Doutorado em Matemática) - Universidade Federal de Goiás, Goiânia, 2017.http://repositorio.bc.ufg.br/tede/handle/tede/6989In this work, we analize the version of Hilbert’s 16th problem for a piecewise linear differential system, PWLS, in R2. More precisely,we determinete the maximum number of certain types of limit cycles when the system is define in two zones separated by a straight line. Some results on the maximum number of cycles of a PWLS defined in two sectors were established. In addition, we classify typical singularities of a piecewise smooth systemin R3, taking into account the behavior of the associated sliding field.application/pdfAcesso AbertoSistemas diferenciais lineares por partesCiclos limiteSingularidades típicasCampo deslizantePiecewise linear differential systemlimit cyclesTypical singulartiesSliding vector fieldCIENCIAS EXATAS E DA TERRA::MATEMATICATese