| Full text | |
| Author(s): |
Carvalho, Tiago
;
Goncalves, Luiz Fernando
;
Freitas, Bruno Rodrigues
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Journal of Differential Equations; v. 440, p. 32-pg., 2025-09-25. |
| Abstract | |
In this paper, we describe, via singular perturbations and blow-ups, the dynamics around a boundary equilibrium of planar piecewise smooth vector fields. After all desingularizations, we show that the singularly perturbed system has asymptotically attractor equilibria as the co-limit set. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies. (AU) | |
| FAPESP's process: | 21/12395-6 - Piecewise smooth vector fields: theory and applications |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Regular Research Grants |
| 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: | 22/02819-6 - Intermittent vector fields: theoretical aspects and applications |
| Grantee: | Tiago de Carvalho |
| Support Opportunities: | Research Grants - Initial Project |