Algaba Durán, AntonioGarcía García, CristóbalGiné, Jaume2021-09-172021-09-172021Algaba, Antonio; García, Cristóbal; Giné, Jaume. (2021) . A New Normal Form for Monodromic Nilpotent Singularities of Planar Vector Fields. Mediterranean Journal of Mathematics, 2021, vol. 18, a176. https://doi.org/10.1007/s00009-021-01820-71660-54461660-5454 (electrónico)http://hdl.handle.net/10272/20077In this work, we present a new technique for solving the center problem for nilpotent singularities which consists of determining a new normal form conveniently adapted to study the center problem for this singularity. In fact, it is a pre-normal form with respect to classical Bogdanov–Takens normal formal and it allows to approach the center problem more efficiently. The new normal form is applied to several examples.engAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/Primary 34C20Secondary 37G05, 34C14, 37C10, 37C80journal article10.1007/s00009-021-01820-7open access12 Matemáticas