Center problem for generic degenerate vector fields

dc.contributor.author
Algaba, Antonio
dc.contributor.author
Díaz, María
dc.contributor.author
García, Cristóbal
dc.contributor.author
Giné, Jaume
dc.date.accessioned
2024-12-05T22:21:06Z
dc.date.available
2024-12-05T22:21:06Z
dc.date.issued
2021-10-19T11:15:01Z
dc.date.issued
2021-10-19T11:15:01Z
dc.date.issued
2022
dc.identifier
https://doi.org/10.1016/j.na.2021.112597
dc.identifier
0362-546X
dc.identifier
http://hdl.handle.net/10459.1/72110
dc.identifier.uri
http://hdl.handle.net/10459.1/72110
dc.description.abstract
We generalize the method of construction of an integrating factor for Abel differential equations, developed in Briskin et al. (1998), for any generic monodromic singularity. Here generic means that the vector field has not characteristic directions in the quasi-homogeneous leading term in certain coordinates. We apply this method to some degenerate differential systems.
dc.description.abstract
The first and second authors are partially supported by a MINECO, Spain/FEDER, Spain grant numberPGC2018-096265-B-I00 and by the Consejería de Educación y Ciencia de la Junta de Andalucía, Spain(projects P12-FQM-1658, FQM-276). The third author is partially supported by a MINECO, Spain/FEDER,Spain grant number PID2020-113758GB-I00 and an AGAUR, Spain (Generalitat de Catalunya) grantnumber 2017SGR-1276.17
dc.language
eng
dc.publisher
Elsevier
dc.relation
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-096265-B-I00/ES/COMPORTAMIENTO NO LINEAL Y BIFURCACIONES EN SISTEMAS DINAMICOS: APLICACIONES/
dc.relation
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113758GB-I00/ES/ANALISIS CUALITATIVO, INTEGRABILIDAD Y BIFURCACIONES EN SISTEMAS DINAMICOS CONTINUOS/
dc.relation
Reproducció del document publicat a https://doi.org/10.1016/j.na.2021.112597
dc.relation
Nonlinear Analysis, 2022, vol. 214, 112597
dc.rights
cc-by (c) Algaba et al., 2021
dc.rights
info:eu-repo/semantics/openAccess
dc.rights
http://creativecommons.org/licenses/by/4.0/
dc.subject
Center problem
dc.subject
Degenerate vectors
dc.subject
Monodromy
dc.subject
Characteristic directions
dc.title
Center problem for generic degenerate vector fields
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/publishedVersion


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