RT Journal Article T1 Center problem for generic degenerate vector fields A1 Algaba Durán, Antonio A1 Díaz García, María A1 García García, Cristóbal A1 Giné, Jaume AB We 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. PB Elsevier SN 0362-546X YR 2022 FD 2022 LK http://hdl.handle.net/10272/20538 UL http://hdl.handle.net/10272/20538 LA eng NO Algaba, 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.2021.112597 DS Repositorio Institucional de la Universidad de Huelva RD 31 may 2026