| Texto completo | |
| Autor(es): |
Carvalho, Tiago
;
Goncalves, Luiz Fernando
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B; v. 26, n. 8, p. 18-pg., 2021-08-01. |
| Resumo | |
The main goal of this paper is to present the existence of a vector field tangent to the unit sphere S-2 such that S-2 itself is a minimal set. This is reached using a piecewise smooth (discontinuous) vector field and following the Filippov's convention on the switching manifold. As a consequence, none regularization process applied to the initial model can be topologically equivalent to it and we obtain a vector field tangent to S-2 without equilibria. (AU) | |
| Processo FAPESP: | 19/10269-3 - Teorias ergódica e qualitativa dos sistemas dinâmicos II |
| Beneficiário: | Claudio Aguinaldo Buzzi |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |
| Processo FAPESP: | 19/10450-0 - Campos vetoriais suaves por partes: Closing Lemmas, shifts e dinâmicas do tipo ferradura. |
| Beneficiário: | Tiago de Carvalho |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |