Bifurcation of Limit Cycles for a Perturbed Piecewise Quadratic Differential Systems

被引：0
作者：
Gui Lin Ji
Chang Jian Liu
Peng Heng Li
机构：
[1] Sun Yat-sen University,School of Mathematics (Zhuhai)
来源：
Acta Mathematica Sinica, English Series | 2022年 / 38卷
关键词：
Piecewise system; limit cycle; Abelian integral; 34C07; 34C23; 37G15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the bifurcation of limit cycles for planar piecewise smooth systems is studied which is separated by a straight line. We give a new form of Abelian integrals for piecewise smooth systems which is simpler than before. In application, for piecewise quadratic system the existence of 10 limit cycles and 12 small-amplitude limit cycles is proved respectively.
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页码：591 / 611
页数：20
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