Classification of Quadratic Differential Systems on $\mathbb{R}^{3}$ Having a Semisimple Derivation with a one-Dimensional Kernel
Classical Analysis and ODEs
2014-01-13 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 derivation with one-dimensional kernel, is achieved. It is proved that there exist 35 families of affine equivalence classes of such systems.
Keywords
Cite
@article{arxiv.1401.2233,
title = {Classification of Quadratic Differential Systems on $\mathbb{R}^{3}$ Having a Semisimple Derivation with a one-Dimensional Kernel},
author = {Ilie Burdujan},
journal= {arXiv preprint arXiv:1401.2233},
year = {2014}
}
Comments
arXiv admin note: text overlap with arXiv:1401.1902