Periodic Solutions of an Indefinite Singular Planar Differential System

被引：0
|
作者：
Zaitao Liang
Xiuqiang Zhang
Shengjun Li
机构：
[1] Anhui University of Science and Technology,School of Mathematics and Big Data
[2] Hainan University,School of Science
来源：
Mediterranean Journal of Mathematics | 2023年 / 20卷
关键词：
Periodic solutions; planar differential system; indefinite singularity; 34C25;
D O I：
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中图分类号：
学科分类号：
摘要：
We study a planar radially symmetric system with an indefinite singularity. Some efficient conditions guaranteeing the existence of periodic solutions with minimal period mT are established. These periodic solutions rotate exactly once around the singularity in the period time mT. Our results are applicable to the case of a strong singularity as well as the case of a weak singularity.
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