A class of nonlinear oscillators with non-autonomous first integrals and algebraic limit cycles
| dc.contributor.author | Belattar, Meryem | |
| dc.contributor.author | Cheurfa, Rachid | |
| dc.contributor.author | Bendjeddou, Ahmed | |
| dc.contributor.author | Santana, Paulo [UNESP] | |
| dc.contributor.institution | Ferhat Abbas University-Sétif 1 | |
| dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
| dc.date.accessioned | 2025-04-29T19:15:41Z | |
| dc.date.issued | 2023-01-01 | |
| dc.description.abstract | In this paper, we present a class of autonomous nonlinear oscillators with non-autonomous first integral. We prove explicitly the existence of a global sink which is, under some conditions, an algebraic limit cycle. For that class, we draw the possible phase portraits in the Poincaré disk. | en |
| dc.description.affiliation | Laboratory of Applied Mathematics Department of Mathematics Faculty of Sciences Ferhat Abbas University-Sétif 1, P.O. Box 19000 | |
| dc.description.affiliation | IBILCE–UNESP, São Paulo, CEP | |
| dc.description.affiliationUnesp | IBILCE–UNESP, São Paulo, CEP | |
| dc.description.sponsorship | Direction Générale de la Recherche Scientifique et du Développement Technologique | |
| dc.description.sponsorship | Ministère de l'Enseignement Supérieur et de la Recherche Scientifique | |
| dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.description.sponsorshipId | FAPESP: 2019/10269-3 | |
| dc.identifier | http://dx.doi.org/10.14232/ejqtde.2023.1.50 | |
| dc.identifier.citation | Electronic Journal of Qualitative Theory of Differential Equations, v. 2023. | |
| dc.identifier.doi | 10.14232/ejqtde.2023.1.50 | |
| dc.identifier.issn | 1417-3875 | |
| dc.identifier.scopus | 2-s2.0-85179733926 | |
| dc.identifier.uri | https://hdl.handle.net/11449/302824 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Electronic Journal of Qualitative Theory of Differential Equations | |
| dc.source | Scopus | |
| dc.subject | algebraic limit cycles | |
| dc.subject | global sink | |
| dc.subject | non-autonomous first integrals | |
| dc.title | A class of nonlinear oscillators with non-autonomous first integrals and algebraic limit cycles | 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 |