RT Journal Article
T1 On the Integrability Problem for the Hopf-Zero singularity and its relation with the inverse Jacobi multiplier
A1 Algaba Durán, Antonio
A1 Fuentes Díaz, Natalia
A1 Gamero, Estanislao
A1 García García, Cristóbal
AB 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.
PB Elsevier
SN 0096-3003
YR 2021
FD 2021
LK http://hdl.handle.net/10272/20808
UL http://hdl.handle.net/10272/20808
LA eng
NO Algaba, A., Fuentes, N., Gamero, E., & García, C. (2021). On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier. In Applied Mathematics and Computation (Vol. 405, p. 126241). Elsevier BV. https://doi.org/10.1016/j.amc.2021.126241
NO 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´ıade Economía, Innovación, Ciencia y Empleo de la Junta de Andalucía (projects P12-FQM-1658,TIC-130, FQM-276).
DS Repositorio Institucional de la Universidad de Huelva
RD 29 may 2026