2020-04-032020-02-28SOUSA JUNIOR, C. R. G. Directional transition matrix. 2020.58 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2020.http://repositorio.bc.ufg.br/tede/handle/tede/10493The study of global bifurcations in dynamical systems can be quite complicated, so some topological tools are very effective at detecting these bifurcations, between them a very prominent tool is the Conley index theory applied to transition matrices. Thus, we explore the main properties and the main mathematical objects necessary for the study of these matrices, with the objective find a new way of obtaining the directional transition matrix without dependence on slow dynamics. Finally, we present a new algorithm that reduces the amount of computation needed to obtain the directional transition matrix.application/pdfAcesso AbertoTeoria dos sistemas dinâmicosTeoria de MorseÍndice de ConleyMatriz de conexãoMatriz de transição direcionalTheory of dynamical systemsMorse theoryConley indexConnection matrixDirectional transition matrixCIENCIAS EXATAS E DA TERRA::MATEMATICADissertação