RT Journal Article
T1 Invariant curves and analytic integrability of a planar vector field
A1 Algaba Durán, Antonio
A1 García García, Cristóbal, Matemático
A1 Reyes Columé, Manuel
AB We give an expression of the irreducible invariant curves at the singular point.For analytically integrable systems, we give a reduced expression of its  rst integral.This fact allows us to obtain necessary conditions of analytic integrabilityat degenerate singular points.
PB Elsevier
SN 0022-0396
SN 1090-2732 (electrónico)
YR 2019
FD 2019-01
LK https://hdl.handle.net/10272/25426
UL https://hdl.handle.net/10272/25426
LA eng
NO Algaba, A., García, C., & Reyes, M. (2019). Invariant curves and analytic integrability of a planar vector field. In Journal of Differential Equations (Vol. 266, Issues 2–3, pp. 1357–1376). Elsevier BV. https://doi.org/10.1016/j.jde.2018.07.074
NO This work has been partially supported by Ministerio deEconomia y Competitividad, Plan Nacional I+D+I cofinanced with FEDERfunds, in the frame of the project MTM2014-56272-C2-02, and by Consejeríade Educacion y Ciencia de la Junta de Andalucía (FQM-276 and P12-FQM-1658).
DS Repositorio Institucional de la Universidad de Huelva
RD 31 may 2026