2023-09-082023-09-082023-07-27SOUZA, A. C. Policiclos em sistemas de Filippov planares. 2023. 79 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2023.http://repositorio.bc.ufg.br/tede/handle/tede/13037In this work, we study the local structure of planar Filippov systems around low codi mension Σ−singularities and we analyze systems presenting polycycles passing through Σ−singularities. In this way, we analyze Poincaré maps (associated with such polycycles) and determine bifurcation diagrams of Filippov systems around these minimal sets. More specifically, we study the generic bifurcation of a Filippov system around a global con nection passing through a visible fold-regular singularity, the so-called critical crossing cycle and we show that, under smale pertubations, such connection breaks originating étther a sliding cycle or a crossing limit cycle. We also study a planar Filippov system model around a certain Σ−singularity called Fold-Cusp, where a fold and a cusp meet and we show the existence of a critical crossing cycle bifurcations from such singularity in an unfolding of this system. In addition, we exhibit the bifurcation diagram of this unfolding.Attribution-NonCommercial-NoDerivatives 4.0 InternationalSistemas de FilippovSistemas dinâmicosBifurcaçõesPolicicloSingularidade dobra-regularSingularidade dobra-cúspideFilippov systemsDynamical systemsBifurcationsPolycycleFold-regular singularityFold-cusp singularityCIENCIAS EXATAS E DA TERRA::MATEMATICA::MATEMATICA APLICADADissertação