Global residue harmonic balance method for Helmholtz-Duffing oscillator
type: Item
instance of: scholarly article
title: Global residue harmonic balance method for Helmholtz-Duffing oscillator
zbMATH Open document ID: 1443.34034
author: Peijun Ju
published in: Applied Mathematical Modelling
publication date: 2019-11-29T00:00:00Z
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 65L99
zbMATH DE Number: 7138789
zbMATH Keywords: global residue harmonic balance method
zbMATH Keywords: Duffing-harmonic equation
zbMATH Keywords: approximate solutions
zbMATH Keywords: nonlinear oscillators
MaRDI profile type: Publication
full work available at URL: j.apm.2014.10.029
OpenAlex ID: W2074583489
cites work: Mathematical and numerical study of the Duffing-harmonic oscillator
cites work: Solution of a Duffing-harmonic oscillator by the method of harmonic balance
cites work: ON THE UNIQUENESS OF ANGULAR FREQUENCY USING HARMONIC BALANCE FROM THE EQUATION OF MOTION AND THE ENERGY RELATION
cites work: A new analytical approach to the Duffing-harmonic oscillator
cites work: Higher accuracy analytical approximations to the Duffing-harmonic oscillator
cites work: Iterative homotopy harmonic balancing approach for conservative oscillator with strong odd-nonlinearity
cites work: Determination of the frequency-amplitude relation for a Duffing-harmonic oscillator by the energy balance method
cites work: Approximate solutions to Van der Pol damped nonlinear oscillators by means of He's energy balance method
cites work: Comparison of energy balance period with exact period for arising nonlinear oscillator equations. (He's energy balance period for nonlinear oscillators with and without discontinuities.)
cites work: Higher-order approximate periodic solutions for nonlinear oscillators with the Hamiltonian approach
cites work: Homotopy perturbation transform method for nonlinear equations using He's polynomials
cites work: Application of a modified rational harmonic balance method for a class of strongly nonlinear oscillators
cites work: Cubication of conservative nonlinear oscillators
cites work: An explicit approximate solution to the Duffing-harmonic oscillator by a cubication method
cites work: Analytical solution to nonlinear oscillation system of the motion of a rigid rod rocking back using max-min approach
cites work: An auxiliary parameter method using Adomian polynomials and Laplace transformation for nonlinear differential equations
cites work: Dynamic model of large amplitude non-linear oscillations arising in the structural engineering: analytical solutions
DOI: 10.1016/J.APM.2014.10.029
Recommended article: Global residue harmonic balance method for a nonlinear oscillator with discontinuity
Recommended article: Global residue harmonic balance method for large-amplitude oscillations of a nonlinear system
Recommended article: Global residue harmonic balance method to periodic solutions of a class of strongly nonlinear oscillators
Recommended article: Q3385400
Recommended article: The iterative homotopy harmonic balance method for conservative Helmholtz-Duffing oscillators
Recommended article: Rational harmonic balance based method for conservative nonlinear oscillators: application to the Duffing equation
Recommended article: Solution of a Duffing-harmonic oscillator by the method of harmonic balance
Recommended article: Application of the global residue harmonic balance method for obtaining higher-order approximate solutions of a conservative system
Recommended article: FEED FORWARD RESIDUE HARMONIC BALANCE METHOD FOR A QUADRATIC NONLINEAR OSCILLATOR
description: scientific article; zbMATH DE number 7138789