Limit cycles of a class of polynomial vector fields in the plane
type: Item
instance of: scholarly article
title: Limit cycles of a class of polynomial vector fields in the plane
zbMATH Open document ID: 0651.34020
DOI: 10.1016/0022-0396(86)90055-0
published in: Journal of Differential Equations
publication date: 1986-01-01T00:00:00Z
review text: Examples giving negative answers to questions asked by \textit{D. E. Koditschek} and \textit{K. S. Narendra} (J. Differ. Equations 54, 181-195 (1984; Zbl 0498.34018)) are produced and a generalization of the theorem of Koditschek and Narendra is proved; the generalization consists of replacing a linear function f by a smooth homogeneous function which takes on both positive and negative values. Results of computer experiments are reported to show ``something of the shapes of the limit cycles to be expected from a system in the form considered.''
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 4061675
zbMATH Keywords: polynomial vector fields
zbMATH Keywords: planar systems
zbMATH Keywords: limit cycles
author: C. Chicone
MaRDI profile type: Publication
full work available at URL: 0022-0396(86)90055-0
OpenAlex ID: W1974965482
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description: scientific article; zbMATH DE number 4061675