摘要
证明了平面差分系统当其线性近似的奇点为临界结点和退化结点时 ,高阶非线性项不改变奇点附近解轨道的拓扑结构 .
It is proved that when the singular node of linear approximation of plane difference system with second order is either the star-node or the degenerate note at (0,0), the pertubation of the high order terms does not change the nature of the trajectories of solutions in the neighborhood of (0,0).
出处
《宁波大学学报(理工版)》
CAS
2004年第1期19-21,共3页
Journal of Ningbo University:Natural Science and Engineering Edition
关键词
平面差分系统
奇点
拓扑结构
plane difference system
singular point
topologic structure