Algaba Durán, AntonioDíaz García, MaríaGarcía García, CristóbalGiné, Jaume2022-02-042022-02-042022Algaba, A., Díaz, M., García, C., & Giné, J. (2022). Center problem for generic degenerate vector fields. Nonlinear Analysis, Theory, Methods & Applications, 214(112597), 112597. https://doi.org/10.1016/j.na.2021.1125970362-546Xhttp://hdl.handle.net/10272/20538We generalize the method of construction of an integrating factor for Abel differential equations, developed in Briskin et al. (1998), for any generic monodromic singularity. Here generic means that the vector field has not characteristic directions in the quasi-homogeneous leading term in certain coordinates. We apply this method to some degenerate differential systems.engAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/Center problemDegenerate vectorsMonodromyCharacteristic directionsjournal article10.1016/j.na.2021.112597open access12 Matemáticas