Limit cycles of quadratic systems in the plane
type: Item
instance of: scholarly article
title: Limit cycles of quadratic systems in the plane
zbMATH Open document ID: 0552.34032
DOI: 10.1216/RMJ-1984-14-3-619
published in: Rocky Mountain Journal of Mathematics
publication date: 1984-01-01T00:00:00Z
review text: \textit{C. Chicone} and the reviewer [Am. Math. Mon. 89, 167-178 (1982; Zbl 0466.34011)] suggested making computer plots of all the known examples exhibiting the six distributions of limit cycles of quadratic systems. This paper contains numerical plots of all of the known limit cycle distributions except (1,2)-distribution and adds a bit to the knowledge of limit cycle configurations of quadratic systems in the plane. The fact that there are exactly (1,1)-distributions of limit cycles was established by the reviewer [J. Sichuan Univ., Nat. Sci. Ed. 1983, No.3, 9-13 (1983; Zbl 0513.34035)] earlier than in the paper of \textit{L. M. Perko} and \textit{S. Shu} [J. Differ. Equations 53, 146-171 (1984; Zbl 0493.34025)].
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 3879327
zbMATH Keywords: limit cycles
zbMATH Keywords: quadratic systems
zbMATH Keywords: numerical plots
author: Lawrence M. Perko
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3879327