Universitat de Lleida
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.
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
Anglès
Center problem; Degenerate vectors; Monodromy; Characteristic directions
Elsevier
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/
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/
Reproducció del document publicat a https://doi.org/10.1016/j.na.2021.112597
Nonlinear Analysis, 2022, vol. 214, 112597
cc-by (c) Algaba et al., 2021
http://creativecommons.org/licenses/by/4.0/
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