| Full text | |
| Author(s): |
de Carvalho, Tiago
;
Tonon, Durval Jose
Total Authors: 2
|
| Document type: | Journal article |
| Source: | BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN; v. 18, n. 5, p. 21-pg., 2011-01-01. |
| Abstract | |
In this paper we deal with non-smooth vector fields on the plane. We prove that the analysis of their local behavior around certain typical singularities can be treated via singular perturbation theory. In fact, after a regularization of a such system and a blow-up we are able to bring out some results that bridge the space between non-smooth dynamical systems presenting typical singularities and singularly perturbed smooth systems. (AU) | |
| FAPESP's process: | 10/18190-2 - Singularities of 3D piecewise smooth Filippov systems |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 07/08707-5 - Study of minimal sets for discontinuous systems via singular perturbations |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Scholarships in Brazil - Doctorate |