Isochronicity of a \(\mathbb{Z}_2\)-equivariant quintic system
This paper deals with a family of planar polynomial differential \(\mathbb{Z}_2\)-equivariant systems of degree \(5\). Its main purpose is to provide conditions for the existence of an isochronous bi-center. This study also discusses the number of centers of \(\mathbb{Z}_2\)-equivariant systems of degree \(3\) and \(5\), and provides examples of quintic systems with \(3\) or \(5\) isochronous centers.
scientific article; zbMATH DE number 6925389
scientific article