| Full text | |
| Author(s): |
Chaves, Felipe Emanoel
;
Mello, Luis Fernando
;
Teixeira, Marco Antonio
Total Authors: 3
|
| Document type: | Journal article |
| Source: | SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. 19, n. 1, p. 34-pg., 2025-06-01. |
| Abstract | |
This paper is concerned with the local study of planar reversible non-smooth vector fields. We know that symmetries produce interesting mathematical challenges and play an important part in many applications. In fact, the role of symmetries is essential, both in linear and in nonlinear analysis. From the other side, non-smooth vector fields have become certainly one of the common frontiers between Mathematics and Physics/Engineering. The main goal of the present work is to present topological models for generic k-parameter families of reversible non-smooth vector fields, k=0,1,2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k=0, 1, 2$$\end{document}, defined around typical singularities. (AU) | |
| FAPESP's process: | 18/13481-0 - Geometry of control, dynamical and stochastic systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 19/07316-0 - Singularity theory and its applications to differential geometry, differential equations and computer vision |
| Grantee: | Farid Tari |
| Support Opportunities: | Research Projects - Thematic Grants |