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dc.contributor.authorGiné, Jaume
dc.contributor.authorRomanovski, Valery G.
dc.date.accessioned2016-11-28T11:22:15Z
dc.date.issued2010
dc.identifier.issn1468-1218
dc.identifier.urihttp://hdl.handle.net/10459.1/58671
dc.description.abstractIn this paper we obtain necessary and sufficient integrability conditions at the origin for the Lotka–Volterra complex quintic systems which are linear systems perturbed by fifth degree homogeneous polynomials, i.e., we consider systems of the form View the MathML sourceẋ=x(1−a40x4−a31x3y−a22x2y2−a13xy3−a04y4), View the MathML sourceẏ=−y(1−b40x4−b31x3y−b22x2y2−b13xy3−b04y4). The necessity of these conditions is derived from the first nine focus-saddle quantities and their sufficiency is proved by finding an inverse integrating factor or a first integral.ca_ES
dc.description.sponsorshipThe first author is partially supported by a MCYT/FEDER grant number MTM2008-00694 and by a CIRIT grant number 2005SGR 00550. The second author acknowledges the support of the Slovenian Research Agency, of the Nova Kreditna Banka Maribor, of TELEKOM Slovenije, and of the Transnational Access Programme at RISC-Linz of the European Commission Framework 6 Programme for Integrated Infrastructures Initiatives under the project SCIEnce (Contract No. 026133).ca_ES
dc.language.isoengca_ES
dc.publisherElsevierca_ES
dc.relationMICINN/PN2008-2011/MTM2008-00694
dc.relation.isformatofReproducció del document publicat a https://doi.org/10.1016/j.nonrwa.2009.06.002ca_ES
dc.relation.ispartofNonlinear Analysis: Real World Applications, 2010, vol. 11, núm. 3, p. 2100-2105ca_ES
dc.rights(c) Elsevier Ltd, 2009ca_ES
dc.subjectIntegrabilityca_ES
dc.subjectPolynomial vector fieldca_ES
dc.subjectPolynomial differential systemca_ES
dc.titleIntegrability conditions for Lotka–Volterra planar complex quintic systemsca_ES
dc.typearticleca_ES
dc.identifier.idgrec016125
dc.type.versionpublishedVersionca_ES
dc.rights.accessRightsinfo:eu-repo/semantics/restrictedAccessca_ES
dc.identifier.doihttps://doi.org/10.1016/j.nonrwa.2009.06.002
dc.date.embargoEndDate2025-01-01


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