3-dimensional piecewise linear and quadratic vector fields with invariant spheres
| dc.contributor.author | Buzzi, Claudio A. [UNESP] | |
| dc.contributor.author | Rodero, Ana Livia [UNESP] | |
| dc.contributor.author | Torregrosa, Joan | |
| dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
| dc.contributor.institution | Universidade de São Paulo (USP) | |
| dc.contributor.institution | Universitat Autònoma de Barcelona | |
| dc.contributor.institution | Centre de Recerca Matemàtica | |
| dc.date.accessioned | 2025-04-29T19:30:05Z | |
| dc.date.issued | 2024-01-01 | |
| dc.description.abstract | We consider the class X of 3-dimensional piecewise smooth vector fields that admit a first integral which leaves invariant any sphere centered at the origin. In this class, we prove that a linear vector field does not admit isolated invariant cones. Moreover, we provide the existence of at least ten 1-parameter families of crossing closed trajectories for quadratic vector fields in X. | en |
| dc.description.affiliation | Universidade Estadual Paulista Instituto de Biociências Letras e Ciências Exatas, SP | |
| dc.description.affiliation | Departamento de Matemática Instituto de Ciências Matemáticas e de Computação Universidade de São Paulo, Avenida Trabalhador São Carlense, 400, SP | |
| dc.description.affiliation | Departament de Matemàtiques Universitat Autònoma de Barcelona, Barcelona | |
| dc.description.affiliation | Centre de Recerca Matemàtica, Campus de Bellaterra, Barcelona | |
| dc.description.affiliationUnesp | Universidade Estadual Paulista Instituto de Biociências Letras e Ciências Exatas, SP | |
| dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description.sponsorship | Agència de Gestió d'Ajuts Universitaris i de Recerca | |
| dc.description.sponsorship | Ministerio de Ciencia, Innovación y Universidades | |
| dc.description.sponsorshipId | CNPq: 2017/08779-8 | |
| dc.description.sponsorshipId | CNPq: 2019/00440-7 | |
| dc.description.sponsorshipId | CNPq: 2019/10269-3 | |
| dc.description.sponsorshipId | Agència de Gestió d'Ajuts Universitaris i de Recerca: 2021 SGR 00113 | |
| dc.description.sponsorshipId | CNPq: 2021/12630-5 | |
| dc.description.sponsorshipId | CNPq: 304798/2019-3 | |
| dc.description.sponsorshipId | Ministerio de Ciencia, Innovación y Universidades: PID2022-136613NB-I00 | |
| dc.identifier | http://dx.doi.org/10.14232/ejqtde.2024.1.43 | |
| dc.identifier.citation | Electronic Journal of Qualitative Theory of Differential Equations, v. 2024, n. 43, 2024. | |
| dc.identifier.doi | 10.14232/ejqtde.2024.1.43 | |
| dc.identifier.issn | 1417-3875 | |
| dc.identifier.scopus | 2-s2.0-85205451891 | |
| dc.identifier.uri | https://hdl.handle.net/11449/303585 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Electronic Journal of Qualitative Theory of Differential Equations | |
| dc.source | Scopus | |
| dc.subject | 1-parameter families of closed trajectories | |
| dc.subject | invariant cones | |
| dc.subject | piecewise smooth vector fields with invariant spheres | |
| dc.title | 3-dimensional piecewise linear and quadratic vector fields with invariant spheres | en |
| dc.type | Artigo | pt |
| dspace.entity.type | Publication | |
| unesp.campus | Universidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |