On the Number of Limit Cycles of Discontinuous Lienard Polynomial Differential Systems

被引：2
|
作者：
Jiang, Fangfang [1 ]
Ji, Zhicheng [2 ]
Wang, Yan [2 ]
机构：
[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China
[2] Jiangnan Univ, Sch IoT Engn, Wuxi 214122, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2018年 / 28卷 / 14期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Discontinuity; Lienard polynomial differential system; averaging theory; number of limit cycles; AVERAGING THEORY; PERIODIC-SOLUTIONS; EQUATIONS;
D O I：
10.1142/S0218127418501754
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the number of limit cycles for two classes of discontinuous Lienard polynomial perturbed differential systems. By the second-order averaging theorem of discontinuous differential equations, we provide several criteria on the lower upper bounds for the maximum number of limit cycles. The results show that the second-order averaging theorem of discontinuous differential equations can predict more limit cycles than the first-order one.
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页数：14
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