| Texto completo | |
| Autor(es): |
Buzzi, Claudio A.
;
Pessoa, Claudio
;
Medrado, Joao C.
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | BULLETIN DES SCIENCES MATHEMATIQUES; v. 188, p. 27-pg., 2023-11-01. |
| Resumo | |
Consider an analytical function f : V subset of R-2 -> R having 0 as its regular value, a switching manifold Sigma = f(-1)(0) and a piecewise analytical vector field X = (X+, X-), i.e. X-+/- are analytical vector fields defined on Sigma(+/-) = {p is an element of V : +/- f (p) > 0}. We characterize when the vector field X has a monodromic singular point in Sigma, called Sigma-mono dromic singular point. Moreover, under certain conditions, we show that a Sigma-mono dromic singular point of X has a neighborhood free of limit cycles.(c) 2023 Elsevier Masson SAS. All rights reserved. (AU) | |
| Processo FAPESP: | 18/19726-5 - Problema de Dulac e do Centro-Foco em Variedades Bidimensionais |
| Beneficiário: | Cláudio Gomes Pessoa |
| Modalidade de apoio: | Bolsas no Exterior - Pesquisa |
| Processo FAPESP: | 19/10269-3 - Teorias ergódica e qualitativa dos sistemas dinâmicos II |
| Beneficiário: | Claudio Aguinaldo Buzzi |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |