Centers of quasi-homogeneous polynomial planar systems
Dynamical Systems
2024-09-30 v1
Abstract
In this paper we determine the centers of quasi-homogeneous polynomial planar vector fields of degree 0, 1, 2, 3 and 4. In addition, in every case we make a study of the reversibility and the analytical integrability of each one of the above centers.Wefind polynomial centers which are neither orbitally reversible nor analytically integrable, this is a new scenario in respect to the one of non-degenerate and nilpotent centers.
Keywords
Cite
@article{arxiv.2409.18774,
title = {Centers of quasi-homogeneous polynomial planar systems},
author = {A. Algaba and N. Fuentes and C. García},
journal= {arXiv preprint arXiv:2409.18774},
year = {2024}
}
Comments
25 pages