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Seeking Darboux polynomials
dc.contributor.author | Ferragut, Antoni | |
dc.contributor.author | Gasull i Embid, Armengol | |
dc.date.accessioned | 2016-02-10T10:14:15Z | |
dc.date.available | 2016-02-10T10:14:15Z | |
dc.date.issued | 2015-10 | |
dc.identifier.citation | FERRAGUT, Antoni; GASULL I EMBID, Armengol. Seeking Darboux polynomials. Acta Applicandae Mathematicae (2015), v. 139, n. 1, pp 167-186 | |
dc.identifier.uri | http://hdl.handle.net/10234/149410 | |
dc.description.abstract | We introduce several techniques which allow to simplify the expression of the cofactor of Darboux polynomials of polynomial differential systems in Rn. We apply these techniques to some well-known systems when n=2,3,4. We also propose a general method for computing Darboux polynomials in the plane. As an application we prove that a family of potential systems, that includes the van der Pol one, has no Darboux polynomials, giving in particular a new simple proof that the van der Pol limit cycle is not algebraic. | ca_CA |
dc.description.sponsorShip | Spanish Government MTM2013-40998-P grant. Generalitat de Catalunya Government 2014SGR568 grant | ca_CA |
dc.format.extent | 25 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Springer | ca_CA |
dc.relation.isPartOf | Acta Applicandae Mathematicae (2015), v. 139, n. 1 | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/CNE/1.0/ | * |
dc.subject | Planar polynomial differential system | ca_CA |
dc.subject | Darboux polynomial | ca_CA |
dc.subject | Cofactor | ca_CA |
dc.subject | Birational map | ca_CA |
dc.subject | Non-algebraic limit cycle | ca_CA |
dc.title | Seeking Darboux polynomials | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1007/s10440-014-9974-0 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://link.springer.com/article/10.1007%2Fs10440-014-9974-0 | ca_CA |
dc.type.version | info:eu-repo/semantics/acceptedVersion |
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