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.

引用

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页数：14

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