@article{10272/20077,
year = {2021},
url = {http://hdl.handle.net/10272/20077},
abstract = {In 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.},
organization = {The first and second authors are partially supported by Ministerio de Ciencia, Innovación y Universidades/ FEDER grant number PGC2018-096265- B-I00 and by the Consejería de Educación y Ciencia de la Junta de Andalucía (projects P12-FQM-1658, FQM-276). The third author is partially supported by a MINECO/ FEDER grant number PID2020-113758GB-I00 and an AGAUR (Generalitat de Catalunya) Grant number 2017SGR-1276.},
publisher = {Springer},
title = {A New Normal Form for Monodromic Nilpotent Singularities of Planar Vector Fields},
doi = {10.1007/s00009-021-01820-7},
author = {Algaba Durán, Antonio and García García, Cristóbal and Giné, Jaume},
}