ON THE NUMBER OF LIMIT CYCLES FOR A QUINTIC LIENARD SYSTEM UNDER POLYNOMIAL PERTURBATIONS

被引：6

作者：

Li, Linlin ^{[1
]}

Yang, Junmin ^{[1
]}

机构：

[1] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2019年 / 9卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Limit cycle; bifurcation; Lienard system; Melnikov function; ELLIPTIC HAMILTONIAN-SYSTEMS; BIFURCATIONS; LOOP;

D O I：

10.11948/20190221

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we mainly study the number of limit cycles for a quintic Lienard system under polynomial perturbations. In some cases, we give new estimations for the lower bound of the maximal number of limit cycles.

引用

页码：2464 / 2481

页数：18

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