Rational limit cycles of Abel differential equations

被引：0
|
作者：
Luis Bravo, Jose [1 ]
Angel Calderon, Luis [2 ]
Ojeda, Ignacio [1 ]
机构：
[1] Univ Extremadura, Dept Matemat, Badajoz 06071, Spain
[2] Univ Illes Balears, IAC3 Inst Appl Comp & Community Code, Dept Ciencies Matemat & Informat, Palma De Mallorca 07122, Spain
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2023年 / 47期
关键词：
periodic solution; limit cycle; Abel equation; NUMBER;
D O I：
10.14232/ejqtde.2023.1.47
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the number of rational limit cycles of the Abel equation x ' = A(t)x(3) + B( t)x(2), where A(t) and B(t) are real trigonometric polynomials. We show that this number is at most the degree of A(t) plus one.
引用
收藏
页码：1 / 13
页数：13
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