Center problem for generic degenerate vector fields

Autor:	María Díaz, Cristóbal García, Jaume Giné, Antonio Algaba
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Differential equation 12 Matemáticas Applied Mathematics Degenerate energy levels Characteristic directions Term (time) Integrating factor Singularity Monodromy Center problem Vector field Center (algebra and category theory) Analysis Degenerate vectors Mathematical physics Mathematics
Zdroj:	Repositorio Abierto de la UdL Universitad de Lleida Arias Montano. Repositorio Institucional de la Universidad de Huelva instname
DOI:	10.1016/j.na.2021.112597
Popis:	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
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7356162dd431b45d8c5e0916ccbf8784 https://doi.org/10.1016/j.na.2021.112597 Zobrazit plný text záznamu