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dc.contributor.authorGiné, Jaume
dc.contributor.authorLlibre, Jaume
dc.description.abstractRecently a criterion has been given for determining the weakly formal Weierstrass non-integrability of polynomial differential systems in C2 . Here we extend this criterion for determining the strongly formal Weierstrass non-integrability which includes the weakly formal Weierstrass non-integrability of polynomial differential systems in C2 . The criterion is based on the solutions of the form y = f(x) with f(x) ∈ C[[x]] of the differential system whose integrability we are studying. The results are applied to a differential system that contains the famous force-free Duffing and the Duffing–Van der Pol oscillators.ca_ES
dc.description.sponsorshipThe first author is partially supported by a MINECO/ FEDER grant number MTM2017-84383- P and an AGAUR (Generalitat de Catalunya) grant number 2017SGR-1276. The second author is partially supported by the Ministerio de Economía, Industria y Competitividad, Agencia Estatal de Investigación grant MTM2016-77278-P (FEDER) and grant MDM-2014-0445, the Agència de Gestió d’Ajuts Universitaris i de Recerca grant 2017SGR1617, and the H2020 European Research Council grant MSCA-RISE-2017-777911.ca_ES
dc.publisherBolyai Institute, University of Szegedca_ES
dc.publisherHungarian Academy of Sciencesca_ES
dc.relation.isformatofReproducció del document publicat a
dc.relation.ispartofElectronic Journal of Qualitative Theory of Differential Equations, 2020, núm. 1, p. 1-16ca_ES
dc.rightscc-by (c) Giné, Jaume et al., 2020ca_ES
dc.subjectLiouville integrabilityca_ES
dc.subjectWeierstrass integrabilityca_ES
dc.subjectPolynomial differential systemsca_ES
dc.titleStrongly formal Weierstrass non-integrability for polynomial differential systems in C2ca_ES

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cc-by (c) Giné, Jaume et al., 2020
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