Darboux polynomials and global phase portraits for the D_2 vector field
Dynamical Systems
2018-08-14 v2
Abstract
We study a vector field of R^3 equivariant under the D_2 symmetry group, called "the D_2 field" in the literature. We construct the complete list of Darboux polynomials for it, solving the partial differential equation defining them. We also use these polynomials to comment on its global qualitative behaviour. This is meant to be a first step towards the comparison of vector fields based on the module generated by their Darboux polynomials.
Keywords
Cite
@article{arxiv.1804.01854,
title = {Darboux polynomials and global phase portraits for the D_2 vector field},
author = {Kostas Katsios and Stavros Anastassiou},
journal= {arXiv preprint arXiv:1804.01854},
year = {2018}
}
Comments
10 pages