摘要
本文研究具有m条切换线的扰动微分系统的极限环个数问题.所用方法的关键点是通过计算一阶Melnikov函数M(h)的生成元得到M(h)的代数结构.本方法可以用来研究其它具有多条切换线的扰动微分系统的极限环分支问题.
In this paper,we deal with the number of limit cycles of a perturbed differential system with m switching lines.One of the key points of our approach is that we obtain the algebraic structure of the first order Melnikov function M(h)by computing its generators,and this method can be applied to study the number of limit cycles of other perturbed differential systems with multiple switching lines.
作者
杨纪华
闫洁
臧小芳
YANG Jihua;YAN Jie;ZANG Xiaofang(School of Mathematics and Computer Science,Ningxia Normal University,Guyuan 756000,China)
出处
《应用数学》
CSCD
北大核心
2021年第2期277-283,共7页
Mathematica Applicata
基金
Supported by the Construction of First-class Disciplines of Higher Education of Ningxia(Pedagogy)(NXYLXK2017B11)
the Undergraduate Teaching Project of Ningxia Normal University(NJY202006)
the National Natural Science Foundation of China(11701306)。
