One-parameter family of cubic Kolmogorov systems with an isochronous center
type: Item
instance of: scholarly article
title: One-parameter family of cubic Kolmogorov systems with an isochronous center
zbMATH Open document ID: 0892.34021
published in: Collectanea Mathematica
publication date: 1996-11-21T00:00:00Z
full work available at URL: https://eudml.org/doc/40551
review text: We show that the one real parameter family of the cubic Kolmogorov system \[ \begin{aligned} \dot x &= x (1- a- 2x (1-a)- a(x^2- y^2)),\\ \dot y &= y(- (1- a)+ 2y (1- a)- a(x^2- y^2))\end{aligned} \] has, for \(a> 1\), an isochronous center of period \({{2\pi} \over {\sqrt {a-1}}}\) at the point \((1/2, 1/2)\).
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 37G15
zbMATH DE Number: 937445
zbMATH Keywords: cubic Kolmogorov system
zbMATH Keywords: isochronous center
author: Eduardo Sáez
author: Ivan Szanto
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 937445