Algaba Durán, AntonioGarcía García, CristóbalGiné, Jaume2022-05-182022-05-182016Algaba, A., García, C., & Giné, J. (2014). Analytic Integrability of Some Examples of Degenerate Planar Vector Fields. In Acta Applicandae Mathematicae (Vol. 141, Issue 1, pp. 1–15). Springer Science and Business Media LLC. https://doi.org/10.1007/s10440-014-0001-20167-80191572-9036 (electrónico)http://hdl.handle.net/10272/20906This paper is devoted to the classification of analytic integrable cases of two families of degenerate planar vector fields with a monodromic singular point at the origin. This study falls in the still open degenerate center problem. This classification can be done using the formal normal form theory and knowing a suitable normal form of any differential systems associated to each family.This paper is devoted to the classification of analytic integrable cases of two families of degenerate planar vector fields with a monodromic singular point at the origin. This study falls in the still open degenerate center problem. This classification can be done using the formal normal form theory and knowing a suitable normal form of any differential systems associated to each family.engAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/Nonlinear differential systemsIntegrability problemDegenerate center problemjournal article10.1007/s10440-014-0001-2open access12 Matemáticas