Center Problem for Quasi-Homogeneous Polynomial Systems with a Given Weight Degree
Center Problem for Quasi-Homogeneous Polynomial Systems with a Given Weight Degree
复制标题
给定权度的拟齐次多项式系统的中心问题
DOI：
10.1142/s0218127418501742
复制
发表时间：
2018
影响因子：
2.2
通讯作者：
Li Jingzheng
中科院分区：
文献类型：
--
作者：
Yanqin Xiong;Hu Jianqiang;Li Shimin;Li Jingzheng
本文考虑具有给定权次的拟齐次多项式系统的中心问题。我们给出了这些系统在原点有一个中心的必要条件。特别地，我们给出了这类系统存在中心的充要条件。
This paper considers the center problem for quasi-homogeneous polynomial systems with a given weight degree. We provide the necessary conditions such that these systems have a center at the origin. Especially, we present the necessary and sufficient conditions on the existence of a center for some class of such systems.