具有两条不变直线的三次微分系统的极限环分支
The limit cycle bifurcations of a cubic differential system with two invariant lines
杨纪华1
作者信息
- 1. 宁夏师范学院数学与计算机科学学院,宁夏固原 756099
- 折叠
摘要
研究了具有切换线x=0的分段光滑的三次可积微分系统在n次多项式扰动下的极限环个数问题.应用一阶平均法,得到了从围绕原点的周期环域中分支出极限环的最大个数.
Abstract
This paper deals with the number of limit cycles of a piecewise smooth cubic integrable differenti-al system with the switching line x=0 under perturbations of polynomials of degree n.By using the first order averaging function,we get the maximum number of limit cycles bifurcating from the period annulus surrounding the origin.
关键词
极限环/平均法/辐角原理Key words
Limit cycle/Averaging method/Argument Principle引用本文复制引用
基金项目
宁夏回族自治区自然科学基金(2022AAC05044)
出版年
2024
NETL
NSTL
维普
万方数据