@article{10272/20808,
year = {2021},
url = {http://hdl.handle.net/10272/20808},
abstract = {In this paper we use the orbital normal form of the nondegenerate Hopf-zero singularity to obtain necessary conditions for the existence of first integrals for such singularity. Also, we analyze the relation between the existence of first integrals and of inverse Jacobi multipliers. Some algorithmic procedures for determining the existence of first integrals are presented, and they are applied to some families of vector fields.},
organization = {This research was partly supported by the Ministerio de Ciencia e Inno-
vación, fondos FEDER (project MTM2017-87915-C2-1-P), by the Ministerio de Ciencia, Inno-
vación y Universidades, fondos FEDER (project P6C2018-096265-B-I00) and by the Consejer´ıa
de Economía, Innovación, Ciencia y Empleo de la Junta de Andalucía (projects P12-FQM-1658,
TIC-130, FQM-276).},
publisher = {Elsevier},
title = {On the Integrability Problem for the Hopf-Zero singularity and its relation with the inverse Jacobi multiplier},
doi = {10.1016/j.amc.2021.126241},
author = {Algaba Durán, Antonio and Fuentes Díaz, Natalia and Gamero, Estanislao and García García, Cristóbal},
}