@article{10272/21253,
year = {2022},
url = {http://hdl.handle.net/10272/21253},
abstract = {We deal with analytic three-dimensional symmetric systems whose origin is a Hopf-zero singularity. Once it is not completely analytically integrable, we provide criteria on the existence of at least one functionally independent analytic first integral. In the generic case, we characterize the analytic partially integrable systems by using orbitally equivalent normal forms. We also solve the problem through the existence of a class of formal inverse Jacobi multiplier of the system.},
organization = {This work has been partially supported by Ministerio de Economía y Competitividad, Plan Nacional I+D+I co-financed with FEDER funds, in the frame of the project PGC2018-096265-B-I00, and by Consejería de Educación y Ciencia de la Junta de Andalucía (FQM-276, P12-FQM-1658 and UHU126150).},
publisher = {Cambridge University Press},
title = {Analytic partial-integrability of a symmetric Hopf-zero degeneracy},
doi = {10.1017/prm.2022.19},
author = {Algaba Durán, Antonio and García García, Cristóbal, Matemático and Reyes Columé, Manuel},
}