Nilpotent Systems Admitting an Algebraic Inverse Integrating Factor over C((x,y))
| dc.contributor.author | Algaba Durán, Antonio | |
| dc.contributor.author | García García, Cristóbal, Matemático | |
| dc.contributor.author | Reyes Columé, Manuel | |
| dc.date.accessioned | 2017-02-15T11:13:00Z | |
| dc.date.available | 2017-02-15T11:13:00Z | |
| dc.date.issued | 2011 | |
| dc.description.abstract | We characterize the nilpotent systems whose lowest degree quasihomogeneous term is (y, σ xn)T, σ = ±1, which have an algebraic inverse integrating factor over C((x,y)) . In such cases, we show that the systems admit an inverse integrating factor of the form (h+ . . . )q with h = 2σ xn+1 − (n + 1)y2 and q a rational number. We analyze its uniqueness modulus a multiplicative constant. | en_US |
| dc.description.department | Ciencias Integradas | |
| 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 projects MTM2007-64193 and MTM2010-20907-C02-02, and by Consejería de Educación y Ciencia de la Junta de Andalucía (FQM-276 and P08-FQM-03770). | |
| dc.identifier.citation | Algaba Durán, A., García García, C., Reyes Columé, M.: "Nilpotent Systems Admitting an Algebraic Inverse Integrating Factor over C((x,y))". Qualitative Theory of Dynamical Systems. Vol. 10, n. 2, págs. 303–316, (2011). DOI: 10.1007/s12346-011-0046-9 | en_US |
| dc.identifier.doi | 10.1007/s12346-011-0046-9 | |
| dc.identifier.issn | 1575-5460 | |
| dc.identifier.issn | 1662-3592 (electrónico) | |
| dc.identifier.uri | http://hdl.handle.net/10272/13292 | |
| dc.language.iso | eng | en_US |
| dc.publisher | Springer Verlag | en_US |
| dc.relation.projectID | info:eu-repo/grantAgreement/FEDER funds [MTM2007-64193, MTM2010-20907-C02-02] | |
| dc.relation.projectID | info:eu-repo/grantAgreement/Consejeria de Educacion y Ciencia de la Junta de Andalucia [FQM-276, P08-FQM-03770] | |
| dc.relation.publisherversion | https://doi.org/10.1007/s12346-011-0046-9 | en_US |
| dc.rights | Atribución-NoComercial-SinDerivadas 3.0 España | * |
| dc.rights.accessRights | open access | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
| dc.title | Nilpotent Systems Admitting an Algebraic Inverse Integrating Factor over C((x,y)) | en_US |
| dc.type | journal article | en_US |
| dc.type.hasVersion | AM | |
| 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 |
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