Bifurcations of a particular forced van der Pol oscillator
type: Item
instance of: scholarly article
title: Bifurcations of a particular forced van der Pol oscillator
zbMATH Open document ID: 0545.70029
DOI: 10.1007/BF02128243
author: K. I. Taha
author: D. K. Arrowsmith
published in: Meccanica
publication date: 1983-01-01T00:00:00Z
review text: Die Verff. untersuchen Mitnahmeerscheinungen der nichtlinearen van der Pol'schen Differentialgleichung mit Hilfe der Mittelungsmethode. Mit an sich bekannten Verfahren werden die singulären Punkte der äquivalenten autonomen Differentialgleichung für die Amplituden bestimmt und qualitative Aussagen zum Phasenportrait gemacht.
Mathematics Subject Classification ID: 70K05
zbMATH DE Number: 3868704
zbMATH Keywords: Van der Pol oscillator
zbMATH Keywords: averaging method
zbMATH Keywords: singular points
zbMATH Keywords: autonomous differential equation
zbMATH Keywords: phase portrait
reviewed by: H.-J.Bangen
MaRDI profile type: Publication
cites work: Bifurcations of the forced van der Pol oscillator
cites work: Q5580482
cites work: Singularities of vector fields on the plane
cites work: The singularity \(x\partial /\partial y\)
cites work: Bifurcations at a cusp singularity with applications
cites work: Generic one-parameter families of vector fields on two-dimensional manifolds
cites work: Singularities of vector fields
cites work: ON THE TRANSFORMATIONS OF SINGULARITIES AND LIMIT CYCLES OF THE VARIATIONAL EQUATIONS OF VAN DER POL
cites work: Q5508460
full work available at URL: https://doi.org/10.1007/bf02128243
OpenAlex ID: W2082324020
description: scientific article; zbMATH DE number 3868704