摘要
讨论Abel方程闭解的存在性、个数和稳定性,改进了以前文献的结果,并利用关于Abel方程的这些结果得到了一类n次多项式系统在一定条件下极限环的个数和稳定性．
In this paper, the existence, number and stability of Abel equation＇s closed solutions are discussed, and the results in previous papers are improved. Moreover, the number and stability of the limit cycles of a class of polynomial system with degree n are studied under some conditions by means of the results about Abel equation.
出处
《系统科学与数学》
CSCD
北大核心
2005年第6期693-699,共7页
Journal of Systems Science and Mathematical Sciences
关键词
ABEL方程
多项式系统
闭解
极限环
Abel equation, polynomial system, closed solution, limit cycle.
