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Generic singularities of planar reversible Filippov vector fields

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Autor(es):
Chaves, Felipe Emanoel ; Mello, Luis Fernando ; Teixeira, Marco Antonio
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. 19, n. 1, p. 34-pg., 2025-06-01.
Resumo

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)

Processo FAPESP: 18/13481-0 - Geometria de sistemas de controle, sistemas dinâmicos e estocásticos
Beneficiário:Marco Antônio Teixeira
Modalidade de apoio: Auxílio à Pesquisa - Temático
Processo FAPESP: 19/07316-0 - Teoria de singularidades e aplicações a geometria diferencial, equações diferenciais e visão computacional
Beneficiário:Farid Tari
Modalidade de apoio: Auxílio à Pesquisa - Temático