A NOTE ON HILBERT 16TH PROBLEM
| dc.contributor.author | Gasull, Armengol | |
| dc.contributor.author | Santana, Paulo [UNESP] | |
| dc.contributor.institution | Universitat Autònoma de Barcelona | |
| dc.contributor.institution | Edifici Cc | |
| dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
| dc.date.accessioned | 2025-04-29T18:58:10Z | |
| dc.date.issued | 2025-02-01 | |
| dc.description.abstract | Let H(n) be the maximum number of limit cycles that a planar polynomial vector field of degree n can have. In this paper we prove that H(n) is realizable by structurally stable vector fields with only hyperbolic limit cycles and that it is a strictly increasing function whenever it is finite. | en |
| dc.description.affiliation | Departament de MatemàtiQues Facultat de Ciències Universitat Autònoma de Barcelona, Bellaterra | |
| dc.description.affiliation | Centre de Recerca Matemàtica Edifici Cc, Campus de Bellaterra, Cerdanyola del Vallès | |
| dc.description.affiliation | IBILCE–UNESP, S. J. Rio Preto | |
| dc.description.affiliationUnesp | IBILCE–UNESP, S. J. Rio Preto | |
| dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.description.sponsorship | Agència de Gestió d'Ajuts Universitaris i de Recerca | |
| dc.description.sponsorship | Centre of Excellence in Cognition and its Disorders, Australian Research Council | |
| dc.description.sponsorship | Agencia Estatal de Investigación | |
| dc.description.sponsorshipId | FAPESP: 2019/10269-3 | |
| dc.description.sponsorshipId | Agència de Gestió d'Ajuts Universitaris i de Recerca: 2021-SGR-00113 | |
| dc.description.sponsorshipId | FAPESP: 2021/01799-9 | |
| dc.description.sponsorshipId | FAPESP: 2022/14353-1 | |
| dc.description.sponsorshipId | Centre of Excellence in Cognition and its Disorders, Australian Research Council: CEX2020-001084-M | |
| dc.description.sponsorshipId | Agencia Estatal de Investigación: PID2022-136613NB-I00 | |
| dc.format.extent | 669-677 | |
| dc.identifier | http://dx.doi.org/10.1090/proc/17116 | |
| dc.identifier.citation | Proceedings of the American Mathematical Society, v. 153, n. 2, p. 669-677, 2025. | |
| dc.identifier.doi | 10.1090/proc/17116 | |
| dc.identifier.issn | 1088-6826 | |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.scopus | 2-s2.0-85213802538 | |
| dc.identifier.uri | https://hdl.handle.net/11449/301426 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Proceedings of the American Mathematical Society | |
| dc.source | Scopus | |
| dc.subject | Hilbert 16th problem | |
| dc.subject | limit cycles | |
| dc.subject | structurally stable vector fields | |
| dc.title | A NOTE ON HILBERT 16TH PROBLEM | 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 |