摘要
本文利用Dulac函数方法讨论一类二维系统在环城上的包围多个奇点的极限环的唯一性及在n连城上极限环的唯n-1性,并给出了两个多项式的例子,讨论了极限环的唯一性和唯二性.
In this Paper, by using the method of Dulac functions, it is proved that under certain conditions a two dimensional system has at most (n-1) limit cycles on an n-connected region. As an illustration, tWo exampleS are discussed for the cxistence of a unique limit cycle of at most two limit cycles.
出处
《应用数学》
CSCD
1997年第1期26-30,共5页
Mathematica Applicata
基金
国家自然科学基金