A frequency method for predicting limit cycle bifurcations
type: Item
instance of: scholarly article
title: A frequency method for predicting limit cycle bifurcations
zbMATH Open document ID: 0890.34033
DOI: 10.1023/A:1008298205786
published in: Nonlinear Dynamics
publication date: 1998-06-09T00:00:00Z
review text: The paper studies the approximation and bifurcations of limit cycles in nonlinear dynamic systems. Using the harmonic balance method low dimensional algebraic frequency conditions for such bifurcations are derived. All different generic kinds of loss of stability are considered. Several examples, including Duffing's equation and differential equations with delay, indicate that the proposed method yields qualitatively good approximations.
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34A45
zbMATH DE Number: 1062753
zbMATH Keywords: nonlinear systems
zbMATH Keywords: feedback systems
zbMATH Keywords: bifurcations
zbMATH Keywords: limit cycles
zbMATH Keywords: harmonic balance
author: Michele Basso
author: R. Genesio
author: Alberto Tesi
reviewed by: Alois Steindl
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1062753