RT Journal Article T1 Center conditions to find certain degenerate centers with characteristic directions A1 Algaba Durán, Antonio A1 García García, Cristóbal A1 Giné, Jaume AB We consider the two-dimensional autonomous systems of differential equations where the origin is a monodromic degenerate singular point, i.e., with null linear part. In this work we give two heuristic procedures to obtain some center conditions (perhaps not necessary) for certain degenerate centers at the origin although they have characteristic directions.(c) 2023 The Authors. Published by Elsevier B.V. on behalf of International Association for Mathematics and Computers in Simulation PB Elsevier SN 0378-4754 SN 1872-7166 (electrónico) YR 2023 FD 2023 LK https://hdl.handle.net/10272/22629 UL https://hdl.handle.net/10272/22629 LA eng NO Algaba, A., García, C., & Giné, J. (2024). Center conditions to find certain degenerate centers with characteristic directions. In Mathematics and Computers in Simulation (Vol. 215, pp. 628–638). Elsevier BV. https://doi.org/10.1016/j.matcom.2023.07.006 NO The first two authors are partially supported by Ministerio de Economia y Competitividad, Plan Nacional I+D+I co-financed with FEDER funds, in the frameof theproject PGC2018-096265-B-I00, and by Consejería de Educación y Ciencia de la Junta de Andalucía (FQM-276,P12-FQM-1658,UHU126150andP2000764).The author is partially supported by the Agencia Estatal de Investigación grant PID2020-113758GB-I00andanAGAUR (Generalitat de Catalunya) grant number2021SGR01618 DS Repositorio Institucional de la Universidad de Huelva RD 30 may 2026