T-singularidade: dinâmica, estabilidade e teoria de controle

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Chi tiết về thư mục
Tác giả chính: Cespedes, Oscar Alexander Ramírez
Ngày xuất bản: 2013
Định dạng: Master thesis
Ngôn ngữ: por
Nguồn: Repositório Institucional da UFG
Download full: http://repositorio.bc.ufg.br/tede/handle/tede/3087
Tóm tắt: 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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