$\mathbb{R}^{3}$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
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。