Parametric and autoparametric resonance
type: Item
instance of: scholarly article
title: Parametric and autoparametric resonance
zbMATH Open document ID: 1010.34029
DOI: 10.1023/A:1013934501001
author: Ferdinand Verhulst
published in: Acta Applicandae Mathematicae
publication date: 2002-05-30T00:00:00Z
review text: The author explains the linear and nonlinear dynamics of parametric systems by applying normal form techniques and bifurcation results. Illustrations in rotor dynamics, autoparametric resonance of a parametric oscillator and autoparametric resonance of a self-excited oscillator are provided showing the role of bifurcation, symmetry and attraction to limit sets in the analysis.
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 70K28
Mathematics Subject Classification ID: 34E10
Mathematics Subject Classification ID: 70K50
zbMATH DE Number: 1747782
zbMATH Keywords: resonance
zbMATH Keywords: bifurcation
zbMATH Keywords: parametric
zbMATH Keywords: nonlinear
reviewed by: Olusola Akinyele
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1747782