dc.contributor.author |
Giné, Jaume |
dc.contributor.author |
Llibre, Jaume |
dc.date |
2020-03-06T09:11:31Z |
dc.date |
2020-03-06T09:11:31Z |
dc.date |
2020 |
dc.identifier |
1417-3875 |
dc.identifier |
http://hdl.handle.net/10459.1/68155 |
dc.identifier |
https://doi.org/10.14232/ejqtde.2020.1.1 |
dc.identifier.uri |
http://hdl.handle.net/10459.1/68155 |
dc.description |
Recently 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. |
dc.description |
The 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. |
dc.language |
eng |
dc.publisher |
Bolyai Institute, University of Szeged |
dc.publisher |
Hungarian Academy of Sciences |
dc.relation |
MINECO/PN2013-2016/MTM2017-84383-P |
dc.relation |
MINECO/PN2013-2016/MTM2016-77278-P |
dc.relation |
Reproducció del document publicat a https://doi.org/10.14232/ejqtde.2020.1.1 |
dc.relation |
Electronic Journal of Qualitative Theory of Differential Equations, 2020, núm. 1, p. 1-16 |
dc.relation |
info:eu-repo/grantAgreement/EC/H2020/777911/EU/Dynamics |
dc.rights |
cc-by (c) Giné, Jaume et al., 2020 |
dc.rights |
http://creativecommons.org/licenses/by/4.0/ |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.subject |
Liouville integrability |
dc.subject |
Weierstrass integrability |
dc.subject |
Polynomial differential systems |
dc.title |
Strongly formal Weierstrass non-integrability for polynomial differential systems in C2 |
dc.type |
info:eu-repo/semantics/article |
dc.type |
info:eu-repo/semantics/publishedVersion |