On the cyclicity of quasi-homogeneous polynomial systems

被引：0
|
作者：
Lian, Hairong [1 ]
Liu, Changjian [2 ]
Yang, Jiazhong [3 ]
机构：
[1] China Univ Geosci, Sch Sci, Beijing 100083, Peoples R China
[2] Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Guangdong, Peoples R China
[3] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 516卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Abelian integral; Limit cycle; Weight -homogenous differential; system; LIMIT-CYCLES; LOWER BOUNDS; NUMBER;
D O I：
10.1016/j.jmaa.2022.126510
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the weakened 16th Hilbert problem for a class of quasi-homogeneous polynomial systems and obtain the upper bound as well as the lower one for the number of limit cycles bifurcating from the period annulus of such systems. (c) 2022 Elsevier Inc. All rights reserved.
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页数：10
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