New family of Abelian integrals satisfying Chebyshev property

被引：5

作者：

Cen, Xiuli ^{[1
]}

Liu, Changjian ^{[1
]}

Zhao, Yulin ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Guangdong, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 268卷 / 12期

关键词：

Abelian integral; Chebyshev property; Non-algebraic first integral; LIMIT-CYCLES; SYSTEMS; NUMBER;

D O I：

10.1016/j.jde.2019.11.060

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is motivated by the Chebyshev property of a family of Abelian integrals along non-algebraic level ovals. A new criterion is established to study the Chebyshev property of these Abelian integrals. As its applications, we give three examples to show that the ordered sets defined by Abelian integrals are ECT systems. Moreover, the number of the Abelian integrals can be an arbitrary positive integer. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：7561 / 7581

页数：21

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