RT Journal Article T1 Analytical Integrability of Perturbations of Quadratic Systems A1 Algaba Durán, Antonio A1 García García, Cristóbal, Matemático A1 Reyes Columé, Manuel K1 Ecuaciones diferenciales AB We consider analytic perturbations of quadratic homogeneousdifferential systems having an isolated singularity at the origin. We char-acterize the systems with an analytic first integral at the origin. Weapply the results to two families of degenerate vector fields. PB Springer SN 1660-5446 SN 1660-5454 (electrónico) YR 2021 FD 2021-02-01 LK https://hdl.handle.net/10272/25356 UL https://hdl.handle.net/10272/25356 LA eng NO Algaba, A., García, C., & Reyes, M. (2020). Analytical Integrability of Perturbations of Quadratic Systems. In Mediterranean Journal of Mathematics (Vol. 18, Issue 1). Springer Science and Business Media LLC. https://doi.org/10.1007/s00009-020-01647-8 NO The authors are partially supported by a MINECO/FEDER grant numberMTM2014-56272-C2-2 and by the Consejer´ıa de Educación y Ciencia de laJunta de Andalucía (projects P12-FQM-1658, FQM-276 DS Repositorio Institucional de la Universidad de Huelva RD 1 jun 2026