Limit Cycles and Integrability of a Class of Quintic System

被引：0

作者：

Tang, Yanli ^{[1
,2
]}

Zhang, Dongmei ^{[2
]}

Li, Feng ^{[2
]}

机构：

[1] Philippine Christian Univ, Ctr Int Educ, Manila 1004, Philippines

[2] Linyi Univ, Sch Math & Stat, Linyi 276005, Shandong, Peoples R China

来源：

MATHEMATICS | 2022年 / 10卷 / 16期

基金：

中国国家自然科学基金;

关键词：

focal value; limit cycle; center; isochronous center; CUBIC SYSTEM; BIFURCATIONS;

D O I：

10.3390/math10162993

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a class of quintic systems is investigated. The first 13 focal values are computed with the aid of MATHEMATICA. Then the necessary conditions of integrability and linearizability are obtained and the sufficiency of every condition is proved. Meanwhile, bifurcation of limit cycles is discussed, 13 limit cycles can be bifurcated from the origin. As far as the number of limit cycles enclosing an isolated singular point is concerned, this is so far the best result for elementary singular points.

引用

页数：11

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