Explicit limit cycles of a cubic polynomial differential systems

被引：0

作者：

Bendjeddou, Ahmed ^{[1
]}

Boukoucha, Rachid ^{[2
]}

机构：

[1] Univ Setif, Fac Sci, Dept Math, Setif 19000, Algeria

[2] Univ Bejaia, Fac Technol, Dept Technol, Bejaia 06000, Algeria

来源：

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2016年 / 61卷 / 01期

关键词：

Planar polynomial differential system; algebraic limit cycle; non-algebraic limit cycle;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we determine sufficient conditions for a cubic polynomial differential systems of the form {x' = x + ax(3) + bx(2)y + cxy(2) + ny(3) y' = y + sx(3) + ux(2)y + vxy(2) + wy(3) where a, b, c, n, s, u, v, w are real constants, to possess an algebraic, non-algebraic limit cycles, explicitly given. Concrete examples exhibiting the applicability of our result is introduced.

引用

页码：77 / 85

页数：9

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