Algaba Durán, AntonioGarcía García, Cristóbal, MatemáticoReyes Columé, Manuel2025-04-092025-04-092021-02-01Algaba, 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/s00009-020-01647-81660-54461660-5454 (electrónico)https://hdl.handle.net/10272/25356We consider analytic perturbations of quadratic homogeneous differential systems having an isolated singularity at the origin. We char- acterize the systems with an analytic first integral at the origin. We apply the results to two families of degenerate vector fields.engAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/Ecuaciones diferencialesAnalytical Integrability of Perturbations of Quadratic Systemsjournal article10.1007/s00009-020-01647-8open access12 Matemáticas