dc.contributor.author
Algaba, Antonio
dc.contributor.author
García, Cristóbal
dc.contributor.author
Giné, Jaume
dc.date.accessioned
2024-12-05T21:39:07Z
dc.date.available
2024-12-05T21:39:07Z
dc.date.issued
2019-03-20T09:39:17Z
dc.date.issued
2021-06-15T22:24:16Z
dc.identifier
https://doi.org/10.1016/j.cnsns.2018.09.018
dc.identifier
http://hdl.handle.net/10459.1/65974
dc.identifier.uri
http://hdl.handle.net/10459.1/65974
dc.description.abstract
In this work is characterized the analytic integrability problem around a nilpotent singularity for differential systems in the plane under generic conditions. The analytic integrability problem is characterized via the existence of a formal inverse integrating factor. The relation between the analytic integrability and the existence of an algebraic inverse integrating factor is also given.
dc.description.abstract
The first and second authors are partially supported by a MINECO/FEDER grant number MTM2014-56272-C2-2 and by the Consejería de Educación y Ciencia de la Junta de Andalucía (projects P12-FQM-1658, FQM-276). The third author is partially supported by a MINECO/FEDER grant number MTM2017-84383-P and by an AGAUR (Generalitat de Catalunya) grant number 2017SRG 1276.
dc.relation
info:eu-repo/grantAgreement/MINECO//MTM2014-56272-C2-2-P/ES/FORMAS NORMALES Y COMPORTAMIENTOS DINAMICOS/
dc.relation
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-84383-P/ES/ORBITAS PERIODICAS E INTEGRABILIDAD EN SISTEMAS DIFERENCIALES CONTINUOS/
dc.relation
Versió postprint del document publicat a https://doi.org/10.1016/j.cnsns.2018.09.018
dc.relation
Communications in Nonlinear Science and Numerical Simulation, 2019, vol. 71, p. 130-140
dc.rights
cc-by-nc-nd (c) Elsevier, 2019
dc.rights
info:eu-repo/semantics/openAccess
dc.rights
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject
Analytic integrability
dc.subject
Nilpotent singular points
dc.subject
Inverse integrating factor
dc.title
Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/acceptedVersion
