Analytic integrability around a nilpotent singularity: The non-generic case
| dc.contributor.author | Algaba, Antonio | |
| dc.contributor.author | Díaz, María | |
| dc.contributor.author | García, Cristóbal | |
| dc.contributor.author | Giné, Jaume | |
| dc.date.accessioned | 2022-02-01T11:23:10Z | |
| dc.date.available | 2022-02-01T11:23:10Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | Recently, in [9] is characterized the analytic integrability problem around a nilpotent singularity for differential systems in the plane under generic conditions. In this work we solve the remaining case completing the analytic integrability problem for such singularity. | ca_ES |
| dc.description.sponsorship | The first, second and third authors are partially supported by a MINECO/ FEDER grant number MTM2014-56272-C2-2 and by the Consejería de Educación y Ciencia de la Junta de Andalucía (projects P12-FQM-1658, FQM-276). The fourth author is partially supported by a MINECO/ FEDER grant number MTM2017-84383-P and an AGAUR (Generalitat de Catalunya) grant number 2017SGR-1276. | ca_ES |
| dc.identifier.doi | https://doi.org/10.3934/cpaa.2020021 | |
| dc.identifier.idgrec | 030396 | |
| dc.identifier.issn | 1534-0392 | |
| dc.identifier.issn | 1553-5258 | |
| dc.identifier.uri | http://hdl.handle.net/10459.1/72915 | |
| dc.language.iso | eng | ca_ES |
| dc.publisher | American Institute of Mathematical Sciences | ca_ES |
| dc.relation | info:eu-repo/grantAgreement/MINECO//MTM2014-56272-C2-2-P/ES/FORMAS NORMALES Y COMPORTAMIENTOS DINAMICOS/ | ca_ES |
| dc.relation | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-84383-P/ES/ORBITAS PERIODICAS E INTEGRABILIDAD EN SISTEMAS DIFERENCIALES CONTINUOS/ | ca_ES |
| dc.relation.isformatof | Versió acceptada del document publicat a https://doi.org/10.3934/cpaa.2020021 | ca_ES |
| dc.relation.ispartof | Communications on Pure and Applied Analysis, 2020, vol. 19, núm. 1, p. 407-423 | ca_ES |
| dc.rights | (c) American Institute of Mathematical Sciences, 2020 | ca_ES |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_ES |
| dc.subject | Analytic integrability | ca_ES |
| dc.subject | Nilpotent singularity | ca_ES |
| dc.subject | Center problem | ca_ES |
| dc.subject | Orbitally equivalence | ca_ES |
| dc.title | Analytic integrability around a nilpotent singularity: The non-generic case | ca_ES |
| dc.type | info:eu-repo/semantics/article | ca_ES |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | ca_ES |