@article{10272/23306,
year = {2023},
url = {https://hdl.handle.net/10272/23306},
abstract = {For perturbations of integrable non-Hamiltonian quasi-homogeneous planar vector
field whose origin is a non-degenerate singular point, orbital linearization and
analytic integrability are equivalent. We show a class of analytically integrable
vector fields whose origin is a degenerate singular point which is orbitally
equivalent to a semi-quasi-homogeneous system, that is, it is not orbital equivalent
to its lowest-degree quasi-homogeneous term.},
organization = {The first three authors are partially supported by Ministerio de Economia 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, UHU126150
and P20 00764). The last author is partially supported by the Agencia Estatal de Investigación, Spain grant
PID2020-113758GB-I00 and an AGAUR (Generalitat de Catalunya) grant number 2021SGR 01618.},
publisher = {Elsevier},
title = {Analytically integrable system orbitally equivalent to a semi-quasihomogeneous system},
doi = {10.1016/j.na.2023.113304},
author = {Algaba Durán, Antonio and García García, Cristóbal, Matemático and Reyes Columé, Manuel and Giné, Jaume},
}