应用数学2021，Vol.34Issue(2)：277-283,7.
具有m条切换线的扰动微分系统的极限环
Limit Cycles Appearing from a Perturbed Differential System with m Switching Lines
摘要
Abstract
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.关键词
切换线/极限环/Melnikov函数Key words
Switching line/Limit cycle/Melnikov function分类
数理科学引用本文复制引用
杨纪华,闫洁,臧小芳..具有m条切换线的扰动微分系统的极限环[J].应用数学,2021,34(2):277-283,7.基金项目
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) （Pedagogy）
