Algaba Durán, AntonioGarcía García, Cristóbal, MatemáticoReyes Columé, Manuel2025-04-242025-04-242019-01Algaba, 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.2018.07.0740022-03961090-2732 (electrónico)https://hdl.handle.net/10272/25426We 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 integrability at degenerate singular points.engAtribución-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nd/3.0/es/Ecuaciones diferencialesjournal article10.1016/j.jde.2018.07.074open access1206.02 Ecuaciones Diferenciales