Planar polynomial vector fields having a polynomial first integral can be obtained from linear systems
Classical Analysis and ODEs
2009-06-18 v1 Dynamical Systems
Abstract
We consider in this work planar polynomial differential systems having a polynomial first integral. We prove that these systems can be obtained from a linear system through a polynomial change of variables.
Cite
@article{arxiv.0906.3212,
title = {Planar polynomial vector fields having a polynomial first integral can be obtained from linear systems},
author = {Belen Garcia and Hector Giacomini and Jesus Perez del Rio},
journal= {arXiv preprint arXiv:0906.3212},
year = {2009}
}
Comments
9 pages, 0 figures