Directional transition matrix
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Data
2020-02-28
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Universidade Federal de Goiás
Resumo
The 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.
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Citação
SOUSA JUNIOR, C. R. G. Directional transition matrix. 2020.58 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2020.