Planar cubic polynomial differential systems with the maximum number of invariant straight lines
Dynamical Systems
2007-05-23 v1
Abstract
We classify all cubic systems possessing the maximum number of invariant straight lines (real or complex) taking into account their multiplicities. We prove that there are exactly 23 topological different classes of such systems. For every class we provide the configuration of its invariant straight lines in the Poincare disc. Moreover, every class is characterized by a set of affine invariant conditions.
Keywords
Cite
@article{arxiv.math/0404531,
title = {Planar cubic polynomial differential systems with the maximum number of invariant straight lines},
author = {Jaume Llibre and Nicolae Vulpe},
journal= {arXiv preprint arXiv:math/0404531},
year = {2007}
}
Comments
58 pages, 2 Postscript figures, Latex