dc.contributor.author
Giné, Jaume
dc.contributor.author
Llibre, Jaume
dc.date.accessioned
2024-12-05T22:22:07Z
dc.date.available
2024-12-05T22:22:07Z
dc.date.issued
2018-03-20T13:04:58Z
dc.date.issued
2018-03-20T13:05:00Z
dc.identifier
https://doi.org/10.1016/j.chaos.2017.01.014
dc.identifier
http://hdl.handle.net/10459.1/62846
dc.identifier.uri
http://hdl.handle.net/10459.1/62846
dc.description.abstract
We consider a complex differential system with a resonant saddle at the origin. We compute the resonant saddle quantities and using Gröbner bases we find the integrability conditions for such systems up to a certain degree. We also establish a conjecture about the integrability conditions for such systems when they have arbitrary degree.
dc.description.abstract
The first author is partially supported by a MINECO/ FEDER grant
number MTM2014-53703-P and an AGAUR (Generalitat de Catalunya)
grant number 2014SGR 1204. The second author is partially
supported by a MINECO grant MTM2013-40998-P, an AGAUR grant
number 2014SGR-568, and the grants FP7-PEOPLE-2012-IRSES 318999
and 316338.
dc.format
application/pdf
dc.relation
info:eu-repo/grantAgreement/MINECO//MTM2014-53703-P/ES/METODOS CUALITATIVOS EN SISTEMAS DIFERENCIALES CONTINUOS/
dc.relation
info:eu-repo/grantAgreement/MINECO//MTM2013-40998-P/ES/ALGUNOS ASPECTOS DE LA DINAMICA GLOBAL DE LOS SISTEMAS DIFERENCIALES: INTEGRABILIDAD, SOLUCIONES PERIODICAS Y BIFURCACIONES/
dc.relation
Versió preprint del document publicat a https://doi.org/10.1016/j.chaos.2017.01.014
dc.relation
Chaos Solitons & Fractals, 2017, vol. 96, p. 130-131
dc.relation
info:eu-repo/grantAgreement/EC/FP7/318999
dc.relation
info:eu-repo/grantAgreement/EC/FP7/316338
dc.rights
(c) Elsevier, 2017
dc.rights
info:eu-repo/semantics/openAccess
dc.title
Integrability conditions of a resonant saddle in generalized Liénard-like complex polynomial differential systems
dc.type
info:eu-repo/semantics/article
