Algebraic integrability of nilpotent planar vector fields
| dc.contributor.author | Algaba Durán, Antonio | |
| dc.contributor.author | García García, Cristóbal, Matemático | |
| dc.contributor.author | Reyes Columé, Manuel | |
| dc.date.accessioned | 2022-01-24T12:32:36Z | |
| dc.date.available | 2022-01-24T12:32:36Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | We characterize, using normal forms of quasi-homogeneous expansions, the analytic vector fields at nilpotent singular point having an algebraic first integral over the ring C [[ x, y ]] . As a consequence, we provide a link between the algebraic integrability problem and the existence of a formal inverse integrat- ing factor which is null at the singular point. | es_ES |
| dc.description.department | Ciencias Integradas | |
| dc.description.sponsorship | This work has been partially supported by Ministerio de Ciencia, Innovación y Universidades, Spain (project PGC2018-096265-BI00) and by Consejería de Economía, Innovación, Ciencia y Empleo de la Junta de Andalucía, Spain (projects FQM-276, UHU-1260150 and P12-FQM-1658 Funding for open access charge: Universidad de Huelva / CBUA. | |
| dc.identifier.citation | Algaba, A., García, C., Reyes, M.: "Algebraic integrability of nilpotent planar vector fields". Chaos, Solitons & Fractals, Volume 145, 2021, 110765, ISSN 0960-0779, https://doi.org/10.1016/j.chaos.2021.110765. | |
| dc.identifier.doi | 10.1016/j.chaos.2021.110765 | |
| dc.identifier.issn | 0960-0779 | |
| dc.identifier.uri | http://hdl.handle.net/10272/20445 | |
| dc.language.iso | eng | es_ES |
| dc.publisher | Elsevier | 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.title | Algebraic integrability of nilpotent planar vector fields | es_ES |
| dc.type | journal article | es_ES |
| dc.type.hasVersion | VoR | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 06bb69dc-47c2-4e2e-95c8-92a095d65ce9 | |
| relation.isAuthorOfPublication | 25e83ffe-c24c-4cb5-acb6-adbc0f459e82 | |
| relation.isAuthorOfPublication | 326a4070-808a-4273-b160-dea7130da021 | |
| relation.isAuthorOfPublication.latestForDiscovery | 06bb69dc-47c2-4e2e-95c8-92a095d65ce9 |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- 1-s2.0-S096007792100117X-main.pdf
- Size:
- 574.27 KB
- Format:
- Adobe Portable Document Format
- Description:
- Versión editor