摘要
考虑平面上由两个齐次多项式的和所定义的微分系统,并且假设原点是这类微分系统的孤立退化奇点,给出了这类系统的奇点是单值的一个充分必要条件,它推广了文献[1]中的相应结论。
A class of planar differential systems defined by the sum of two homogeneous polynomials is considered. In our discussion, the origin is assumed to be an isolated and degenerated singular point for these differential systems. A necessary and sufficient condition of a focus-center singular point is given. This result generalizes the corresponding result in [1].
出处
《浙江理工大学学报（自然科学版）》
2012年第5期702-708,共7页
Journal of Zhejiang Sci-Tech University(Natural Sciences)
基金
国家自然科学基金项目(10871181
11101371)
关键词
单值性问题
特征方向
blow-up技巧
奇点的分类定理
monodromy problem
characteristic direction
blow-up technique
theorem of classification of singular point
