@article{10272/25355,
year = {2024},
url = {https://hdl.handle.net/10272/25355},
abstract = {In this work dynamical properties of the solutions of differential systems in the
plane are provided using certain constants related with the Kowalevskaya exponents.
An orbital normal form that allows to study the existence of analytic and non-analytic
first integrals is given. We apply the results to study the algebraic and analytic
integrability around several singularities.},
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 grant PID2020-113758GB-I00 and an AGAUR (Generalitat de Caluña) grant number 2021SGR 01618.},
publisher = {World Scientific Publishing},
title = {Kowalevskaya exponents and normal forms of planar dynamical systems. Application to integrability problem},
doi = {10.1142/s0219199725500099},
author = {Algaba Durán, Antonio and García García, Cristóbal, Matemático and Reyes Columé, Manuel and Giné Mesa, Jaume},
}