Algaba Durán, AntonioGarcía García, CristóbalReyes Columé, Manuel2025-04-252025-04-252015-10Algaba, A., García, C., & Reyes, M. (2015). Monodromy of a class of analytic generalized nilpotent systems through their Newton diagram. In Journal of Computational and Applied Mathematics (Vol. 287, pp. 78–87). Elsevier BV. https://doi.org/10.1016/j.cam.2015.03.0180022-247X1096-0813 (electrónico)https://hdl.handle.net/10272/25436Newton diagram of a planar vector field allows to determine whether a singular point of an analytic system is a monodromic singular point. We solve the monodromy problem for the nilpotent systems and we apply our method to a wide family of systems with a degenerate singular point, so-called generalized nilpotent cubic systemsengAtribución-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nd/3.0/es/Ecuaciones diferencialesMonodromy of vector fieldsCharacteristic orbitsMonodromyQuasi-homogeneous vector fieldsNilpotent systemsNewton diagramsjournal article10.1016/j.cam.2015.03.018open access