Darboux systems with a cusp point and pseudo-abelian integrals
| Affiliation auteurs | Affiliation ok |
| Titre | Darboux systems with a cusp point and pseudo-abelian integrals |
| Type de publication | Journal Article |
| Year of Publication | 2020 |
| Auteurs | Braghtha A |
| Journal | JOURNAL OF DIFFERENTIAL EQUATIONS |
| Volume | 268 |
| Pagination | 901-909 |
| Date Published | JAN 15 |
| Type of Article | Article |
| ISSN | 0022-0396 |
| Mots-clés | Darboux integrability, First integral, Limit cycles, Pseudo-abelian integrals |
| Résumé | We study pseudo-abelian integrals associated with polynomial deformations of Darboux systems having a cuspidal singularity. Under some genericity hypothesis we provide locally uniform boundedness of on the number of their zeros. (C) 2019 Elsevier Inc. All rights reserved. |
| DOI | 10.1016/j.jde.2019.08.038 |