RT Journal Article
T1 A New Normal Form for Monodromic Nilpotent Singularities of Planar Vector Fields
A1 Algaba Durán, Antonio
A1 García García, Cristóbal
A1 Giné, Jaume
AB 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.
PB Springer
SN 1660-5446
SN 1660-5454 (electrónico)
YR 2021
FD 2021
LK http://hdl.handle.net/10272/20077
UL http://hdl.handle.net/10272/20077
LA eng
NO Algaba, 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/s00009-021-01820-7
NO 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.
DS Repositorio Institucional de la Universidad de Huelva
RD 31 may 2026