arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1401.1902math.CAmath.DSmath.RA
收藏

$\mathbb{R}^{3}$上具有半单导子的二次微分系统

Quadratic Differential Systems on $\mathbb{R}^{3}$ Having a Semisimple Derivation

Ilie Burdujan

摘要:

本文给出了定义在$\mathbb{R}^{3}$上的齐次二次微分系统在中心仿射意义下的分类,证明了该系统至少有一个半单非奇异导数.证明了这类系统只存在四个仿射等价类。

英文摘要:

The classification, up to a center-affinity, of the homogeneous quadratic differential systems defined on $\mathbb{R}^{3}$ that have at least a semisimple nonsingular derivation, is achieved. It is proved that there exist four affine-equivalence classes of such systems, only.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑