An ancient Chinese mathematical algorithm and its application to nonlinear oscillators
type: Item
instance of: scholarly article
title: An ancient Chinese mathematical algorithm and its application to nonlinear oscillators
zbMATH Open document ID: 1219.65002
author: Huili Zhang
author: Lijuan Qin
publication date: 2011-08-28T00:00:00Z
Mathematics Subject Classification ID: 65-03
Mathematics Subject Classification ID: 34-03
Mathematics Subject Classification ID: 65L99
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 01A25
zbMATH DE Number: 5944028
zbMATH Keywords: ancient chinese mathematics
zbMATH Keywords: He's amplitude-frequency formulation
zbMATH Keywords: nonlinear oscillator
Wikidata QID: Q56875114
MaRDI profile type: Publication
full work available at URL: j.camwa.2010.08.073
OpenAlex ID: W1984479875
cites work: Ancient Chinese algorithm: The ying buzu shu (method of surplus and deficiency) vs Newton iteration method
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cites work: He's frequency-amplitude formulation for the Duffing harmonic oscillator
cites work: He's frequency-amplitude formulation for nonlinear oscillators with an irrational force
cites work: Application of He's amplitude–frequency formulation to nonlinear oscillators with discontinuities
cites work: Determination of the frequency-amplitude relation for a Duffing-harmonic oscillator by the energy balance method
cites work: Periodic solutions for some strongly nonlinear oscillations by He's variational iteration method
DOI: 10.1016/J.CAMWA.2010.08.073
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 5944028