RT Journal Article
T1 Algebraic integrability of nilpotent planar vector fields
A1 Algaba Durán, Antonio
A1 García García, Cristóbal, Matemático
A1 Reyes Columé, Manuel
AB We characterize, using normal forms of quasi-homogeneous expansions, the analytic vector fields at nilpotent singular point having an algebraic first integral over the ring C [[ x, y ]] . As a consequence, we provide a link between the algebraic integrability problem and the existence of a formal inverse integrat- ing factor which is null at the singular point.
PB Elsevier
SN 0960-0779
YR 2021
FD 2021
LK http://hdl.handle.net/10272/20445
UL http://hdl.handle.net/10272/20445
LA eng
NO Algaba, A., García, C., Reyes, M.: "Algebraic integrability of nilpotent planar vector fields". Chaos, Solitons & Fractals, Volume 145, 2021,110765, ISSN 0960-0779, https://doi.org/10.1016/j.chaos.2021.110765.
NO This work has been partially supported by Ministerio de Ciencia, Innovación y Universidades, Spain (project PGC2018-096265-BI00) and by Consejería de Economía, Innovación, Ciencia y Empleode la Junta de Andalucía, Spain (projects FQM-276, UHU-1260150and P12-FQM-1658Funding for open access charge: Universidad de Huelva / CBUA.
DS Repositorio Institucional de la Universidad de Huelva
RD 14 jul 2026