Isochronicity of a \(\mathbb{Z}_2\)-equivariant quintic system (Q1664469)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Isochronicity of a \(\mathbb{Z}_2\)-equivariant quintic system |
scientific article; zbMATH DE number 6925389
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Isochronicity of a \(\mathbb{Z}_2\)-equivariant quintic system |
scientific article; zbMATH DE number 6925389 |
Statements
Isochronicity of a \(\mathbb{Z}_2\)-equivariant quintic system (English)
0 references
27 August 2018
0 references
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.
0 references
planar differential systems
0 references
center-focus problem
0 references
isochronicity
0 references
equivariant systems
0 references
global phase portraits
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0.9341599
0 references
0.8664851
0 references
0 references
0.84266317
0 references
0.8407393
0 references
0.8283478
0 references
0.82756084
0 references
0.82719135
0 references
0.82503396
0 references
