@article{10272/25370,
year = {2020},
month = {3},
url = {https://hdl.handle.net/10272/25370},
abstract = {We characterize the analytic planar vector fields orbitally equivalent to its
quasi-homogeneous leader term, by means the existence of a class of inverse
integrating factors. Such a class of inverse integrating factors is determined by
providing a normal form of two-dimensional scalar functions. This fact allows
us to give some relevant criteria on t-linearization, analytical integrability and
characterization of the centers for several families of planar vector fields. We study
the systems whose leader term is quadratic or cubic and we analyze also a class of
nilpotent systems},
organization = {This work has been partially supported by Ministerio de Ciencia y Tecnología, 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 and P12-FQM-1658).},
publisher = {Elsevier},
title = {Quasi-homogeneous linearization of degenerate vector fields},
doi = {10.1016/j.jmaa.2019.123635},
author = {Algaba Durán, Antonio and García García, Cristóbal, Matemático and Reyes Columé, Manuel},
}