Quadratic vector fields with invariant algebraic curve of large degree
Dynamical Systems
2009-04-30 v4
Abstract
We construct a polynomial planar vector field of degree two with one invariant algebraic curves of large degree. We exhibit an explicit quadratic vector fields which invariant curves of degree nine, twelve, fifteen and eighteen degree.
Keywords
Cite
@article{arxiv.0904.4189,
title = {Quadratic vector fields with invariant algebraic curve of large degree},
author = {R. Ramirez and N. Sadovskaia},
journal= {arXiv preprint arXiv:0904.4189},
year = {2009}
}