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On the Liouville integrability of Edelstein’s reaction system in R-3

dc.contributor.authorFerragut, Antoni
dc.contributor.authorValls, Claudia
dc.contributor.authorCarsten, Wiuf
dc.date.accessioned2018-05-07T07:15:05Z
dc.date.available2018-05-07T07:15:05Z
dc.date.issued2018-03
dc.identifier.citationFERRAGUT, Antoni; VALLS, Claudia; WIUF, Carsten. On the Liouville integrability of Edelstein’s reaction system in R3. Chaos, Solitons & Fractals, 2018, vol. 108, p. 129-135.ca_CA
dc.identifier.issn0960-0779
dc.identifier.urihttp://hdl.handle.net/10234/174510
dc.description.abstractWe consider Edelstein's dynamical system of three reversible reactions in R-3 and show that it is not Liouville (hence also not Darboux) integrable. To do so, we characterize its polynomial first integrals, Darboux polynomials and exponential factors.ca_CA
dc.format.extent7 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherElsevierca_CA
dc.relation.isPartOfChaos, Solitons & Fractals, 2018, vol. 108ca_CA
dc.rightsCopyright © Elsevier B.V.ca_CA
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/*
dc.subjectreaction networkca_CA
dc.subjectpolynomial systemca_CA
dc.subjectexponential factorca_CA
dc.subjectfirst integralca_CA
dc.subjectdeficiency theoremca_CA
dc.titleOn the Liouville integrability of Edelstein’s reaction system in R-3ca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttps://doi.org/10.1016/j.chaos.2018.01.029
dc.relation.projectIDMINECO: MTM2013-40998-P, MTM2016-77278-P; Universitat Jaume I grant; P1-1B2015-16; FCT/Portugal: UID/MAT/04459/2013ca_CA
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttps://www.sciencedirect.com/science/article/pii/S0960077918300298#!ca_CA
dc.contributor.funderAF is partially supported by the MINECO grants MTM2013-40998-P and MTM2016-77278-P and by the Universitat Jaume I grant P1-1B2015-16. CV is partially supported by FCT/Portugal through UID/MAT/04459/2013. CW is supported by the Lundbeck Foundation, Denmark, the Danish Research Council and Dr.phil. Ragna Rask-Nielsen Grundforskningsfond (administered by the Royal Danish Academy of Sciences and Letters). Part of this work was done while CW was visiting Universitat Politècnica de Catalunya in Spring 2017ca_CA
dc.type.versioninfo:eu-repo/semantics/submittedVersionca_CA


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