T-singularidade: dinâmica, estabilidade e teoria de controle
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Data
2013-03-22
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Universidade Federal de Goiás
Resumo
Consider a nonsmooth vector fields in R3 defined by parts on a smooth manifold of
dimension one, such that it is tangent to both sides simultaneously, in fold points, visibles
or invisibles. In this paper we study a local dynamics of the singularity type two-fold
invisible-invisible known as Teixeira singularity, revealing new scenes of bifurcations
and the nonlinear effects around the bifurcation already known, determining conditions
for the existence of invariant sets (limit cycles) and the possible existence of a set with
a nondeterministic chaos. Furthermore, we discuss the occurrence of this singularity in
switched feedback control systems and some numerical simulations are presented.
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CESPEDES, Oscar Alexander Ramírez. T-singularidade: dinâmica, estabilidade e teoria de controle. 2013. 76 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2013.