| Full text | |
| Author(s): |
Carvalho, Tiago
;
Goncalves, Luiz Fernando
Total Authors: 2
|
| Document type: | Journal article |
| Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B; v. 26, n. 8, p. 18-pg., 2021-08-01. |
| Abstract | |
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) | |
| FAPESP's process: | 19/10269-3 - Ergodic and qualitative theories of dynamical systems II |
| Grantee: | Claudio Aguinaldo Buzzi |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 19/10450-0 - Piecewise smooth vector fields: Closing Lemmas, shifts and horseshoe dynamics. |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Regular Research Grants |