On the equivalence of three-dimensional differential systems

被引：1

作者：

Zhou, Jian ^{[1
]}

Zhao, Shiyin ^{[1
]}

机构：

[1] Suqian Coll, Sch Math Sci, Suqian 223800, Peoples R China

来源：

OPEN MATHEMATICS | 2020年 / 18卷

关键词：

three-dimensional polynomial system; reflective integral; equivalent systems; periodic solutions;

D O I：

10.1515/math-2020-0073

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, firstly, we study the structural form of reflective integral for a given system. Then the sufficient conditions are obtained to ensure there exists the reflective integral with these structured form for such system. Secondly, we discuss the necessary conditions for the equivalence of such systems and a general three-dimensional differential system. And then, we apply the obtained results to the study of the behavior of their periodic solutions when such systems are periodic systems in t.

引用

页码：1164 / 1172

页数：9

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