@article{10272/27264,
year = {2025},
url = {https://hdl.handle.net/10272/27264},
abstract = {Using the normal form theory and the existence of an algebraic inverse integrating factor we characterize the local analytic integrability of the systems whose quasi-homogeneous leading term is (a1 y3 + a2x3 y, b1x5 + b2x2 y2). More specifically we prove that the analytic integrable vector fields inside such family are orbitally equivalent to a semi-quasi-homogeneus system, that is, are not orbitally equivalent to its lowest-degree quasi-homogeneous term.},
organization = {The first two authors are partially supported by Ministerio de Ciencia, Innovación y Universidades, Spain (project PID2021-123200NB-I00) and by Consejería de Economía, Innovación, Ciencia y Empleo de la Junta de Andalucía, Spain (project FQM-276). The last author is partially supported by the Agencia Estatal de Investigación grant PID2020-113758GB-I00 and an AGAUR (Generalitat de Catalunya) grant number 2021SGR 01618.},
publisher = {Walter de Gruyter GmbH},
title = {Local analytic integrability for a class of degenerate planar vector fields},
doi = {10.1515/ans-2023-0184},
author = {Algaba Durán, Antonio and Reyes Columé, Manuel and Giné, Jaume},
}