2018-03-202018-03-07SILVA, Ana Maria Alves da. Ciclos limite em sistemas lineares suaves por parte. 2018. 116 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2018.http://repositorio.bc.ufg.br/tede/handle/tede/8235In this work we will study limit cycles in piecewise smooth linear systems. We begin studying the case where the separation curve is a polygonal and we give an example of a system having seven limit cycles. The existence of an arbitrary number of limit cycles is also proved for these systems, as well as an example of a system with 10 limit cycles. The existence of n limit cycles, n 2 N, is also studied through a perturbation in the separation curve. Finally, we study limit cycles in planar piecewise linear systems presenting a twofold singularity in R2, as well as limit cycles sorrounding a T-singularity.application/pdfAcesso AbertoCiclos limiteT-singularidadeSistemas lineares suaves por partesPiecewise smooth linear systemsLimit cyclesT- singularityGEOMETRIA E TOPOLOGIA::SISTEMAS DINAMICOSDissertação