Global normalizations for centers of planar vector fields
| dc.citation.epage | 721 | |
| dc.citation.spage | 701 | |
| dc.citation.volume | 415 | |
| dc.contributor.author | Grotta-Ragazzo , C. | |
| dc.contributor.author | Nacimento, Francisco José dos Santos | |
| dc.contributor.authorLattes | http://lattes.cnpq.br/9091581147583991 | |
| dc.date.accessioned | 2026-07-24T16:26:13Z | |
| dc.date.available | 2026-07-24T16:26:13Z | |
| dc.date.issued | 2025-01-15 | |
| dc.description.resumo | This paper addresses a question posed by Carmen Chicone and proves that an analytic vector field with a non-degenerate global center can be transformed into a classical Newtonian equation $V'' =−V(x).$ Additionally, we establish a global Poincaré normal form for planar centers. We also demonstrate the global analytic integrability of the equation $x''= F(u, u')$ , where $F(u, v) = F(u,−v)$, under some additional conditions. | |
| dc.identifier.doi | https://doi.org/10.1016/j.jde.2024.09.053 | |
| dc.identifier.uri | https://repositorio.univasf.edu.br/handle/123456789/1491 | |
| dc.relation.titlePeriodicals | Journal of Differential Equations | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Global normalizations | |
| dc.subject | Centers | |
| dc.subject | Planar vectorfields | |
| dc.subject.cnpq | CIENCIAS EXATAS E DA TERRA | |
| dc.title | Global normalizations for centers of planar vector fields | |
| dc.type | Artigo de Periódico |