Periodic Solutions of an Indefinite Singular Planar Differential System

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 a...

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Bibliographic Details
Published in:Mediterranean journal of mathematics 2023-02, Vol.20 (1), Article 41
Main Authors: Liang, Zaitao, Zhang, Xiuqiang, Li, Shengjun
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Singularities
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Summary: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.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-022-02237-6