Quadratic Differential Systems on $\mathbb{R}^{3}$ Having a Semisimple Derivation
Classical Analysis and ODEs
2014-01-10 v1 Dynamical Systems
Rings and Algebras
Abstract
The classification, up to a center-affinity, of the homogeneous quadratic differential systems defined on that have at least a semisimple nonsingular derivation, is achieved. It is proved that there exist four affine-equivalence classes of such systems, only.
Cite
@article{arxiv.1401.1902,
title = {Quadratic Differential Systems on $\mathbb{R}^{3}$ Having a Semisimple Derivation},
author = {Ilie Burdujan},
journal= {arXiv preprint arXiv:1401.1902},
year = {2014}
}