Algaba Durán, AntonioGarcía García, CristóbalGiné, Jaume2023-11-242023-11-242023Algaba, 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.2023.07.0060378-47541872-7166 (electrónico)https://hdl.handle.net/10272/22629We 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 SimulationengAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/Nonlinear differential equationsMonodomic singular pointsCenter problemjournal article10.1016/j.matcom.2023.07.006open access12 Matemáticas