Non-formally integrable centers admitting an algebraic inverse integrating factor
| dc.contributor.author | Algaba Durán, Antonio | |
| dc.contributor.author | Fuentes Díaz, Natalia | |
| dc.contributor.author | García García, Cristóbal | |
| dc.contributor.author | Reyes Columé, Manuel | |
| dc.date.accessioned | 2025-05-07T11:56:59Z | |
| dc.date.available | 2025-05-07T11:56:59Z | |
| dc.date.issued | 2018-03 | |
| dc.description | “This article has been published in a revised form in Discrete & Continuous Dynamical Systems [https://doi.org/10.3934/dcds.2018041]. This version is free to download for private research and study only. Not for redistribution, re-sale or use in derivative works.” | es_ES |
| dc.description.abstract | We study the existence of a class of inverse integrating factor for a family of non-formally integrable systems whose lowest-degree quasi-homogeneous term is a Hamiltonian vector field. Once the existence of an inverse integrating factor is established, we study the systems having a center. Among others, we characterize the centers of the perturbations of the system $-y^3\partial_x+x^3\partial_y$ having an algebraic inverse integrating factor. | es_ES |
| dc.description.department | Ciencias Integradas | es_ES |
| dc.description.sponsorship | This work has been partially supported by Ministerio de Ciencia y Tecnología, Plan Nacional I+D+I co-financed with FEDER funds, in the frame of the project MTM2014-56272-C2, and by Consejería de Educación y Ciencia de la Junta de Andalucía (FQM-276 and P12-FQM-1658). | es_ES |
| dc.identifier.citation | Algaba, A., Fuentes, N., García, C., & Reyes, M. (2018). Non-formally integrable centers admitting an algebraic inverse integrating factor. In Discrete & Continuous Dynamical Systems - A (Vol. 38, Issue 3, pp. 967–988). American Institute of Mathematical Sciences (AIMS). https://doi.org/10.3934/dcds.2018041 | es_ES |
| dc.identifier.issn | 1078-0947 | |
| dc.identifier.issn | 1553-5231 (electrónico) | |
| dc.identifier.uri | https://hdl.handle.net/10272/25451 | |
| dc.language.iso | eng | es_ES |
| dc.publisher | American Institue of Mathematical Sciences | es_ES |
| dc.relation.publisherversion | https://doi.org/10.3934/dcds.2018041 | es_ES |
| dc.rights | Atribución-SinDerivadas 3.0 España | * |
| dc.rights.accessRights | open access | es_ES |
| dc.rights.uri | http://creativecommons.org/licenses/by-nd/3.0/es/ | * |
| dc.subject.other | Factores integrantes inversos | es_ES |
| dc.subject.other | Periodic solutions | es_ES |
| dc.subject.unesco | 12 Matemáticas | es_ES |
| dc.title | Non-formally integrable centers admitting an algebraic inverse integrating factor | es_ES |
| dc.type | journal article | es_ES |
| dc.type.hasVersion | AM | es_ES |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 06bb69dc-47c2-4e2e-95c8-92a095d65ce9 | |
| relation.isAuthorOfPublication | bccf4383-d205-4902-9c59-d359c0786c97 | |
| relation.isAuthorOfPublication | 326a4070-808a-4273-b160-dea7130da021 | |
| relation.isAuthorOfPublication.latestForDiscovery | 06bb69dc-47c2-4e2e-95c8-92a095d65ce9 |
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