Analytic integrability inside a family of degenerate centers
| dc.contributor.author | Algaba Durán, Antonio | |
| dc.contributor.author | Checa Camacho, Isabel | |
| dc.contributor.author | García García, Cristóbal | |
| dc.contributor.author | Giné, Jaume | |
| dc.date.accessioned | 2022-05-18T10:02:15Z | |
| dc.date.available | 2022-05-18T10:02:15Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | In this paper we study the analytic integrability around the origin inside a family of degenerate centers or perturbations of them. For this family analytic integrability does not imply formal orbital equivalence to a Hamiltonian system. It is shown how difficult is the integrability problem even inside this simple family of degenerate centers or perturbations of them. | es_ES |
| dc.description.department | Ciencias Integradas | |
| dc.description.sponsorship | The first and third authors are supported by a MINECO/FEDER grant number MTM2010-20907-C02-02 and by the Consejer´ıa de Educaci´on y Ciencia de la Junta de Andaluc´ıa (projects P12-FQM-1658, FQM-276). The fourth author is partially supported by a MINECO/FEDER grant number MTM2011-22877 and by a AGAUR (Generalitat de Catalunya) grant number 2014SGR 1204. | |
| dc.identifier.citation | Algaba, A., Checa, I., García, C., & Giné, J. (2016). Analytic integrability inside a family of degenerate centers. In Nonlinear Analysis: Real World Applications (Vol. 31, pp. 288–307). Elsevier BV. https://doi.org/10.1016/j.nonrwa.2016.02.003 | es_ES |
| dc.identifier.doi | 10.1016/j.nonrwa.2016.02.003 | |
| dc.identifier.issn | 1468-1218 | |
| dc.identifier.uri | http://hdl.handle.net/10272/20905 | |
| dc.language.iso | eng | es_ES |
| dc.publisher | Elsevier | es_ES |
| dc.relation.publisherversion | https://doi.org/10.1016/j.nonrwa.2016.02.003 | es_ES |
| dc.rights | Atribución-NoComercial-SinDerivadas 3.0 España | * |
| dc.rights.accessRights | open access | es_ES |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
| dc.subject.other | Nonlinear differential systems | es_ES |
| dc.subject.other | Integrability problem | es_ES |
| dc.subject.other | Degenerate center problem | es_ES |
| dc.subject.unesco | 12 Matemáticas | es_ES |
| dc.title | Analytic integrability inside a family of degenerate centers | es_ES |
| dc.type | journal article | es_ES |
| dc.type.hasVersion | AM | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 06bb69dc-47c2-4e2e-95c8-92a095d65ce9 | |
| relation.isAuthorOfPublication | ecd13faa-3505-4cae-8416-a26c934d397e | |
| relation.isAuthorOfPublication.latestForDiscovery | 06bb69dc-47c2-4e2e-95c8-92a095d65ce9 |
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