Application of extended homotopy analysis method to the two-degree-of-freedom coupled van der Pol-Duffing oscillator
type: Item
instance of: scholarly article
title: Application of extended homotopy analysis method to the two-degree-of-freedom coupled van der Pol-Duffing oscillator
zbMATH Open document ID: 1474.34067
DOI: 10.1155/2014/729184
author: Xianqiang Yang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The extended homotopy analysis method (EHAM) is presented to establish the analytical approximate solutions for two-degree-of-freedom (2-DOF) coupled van der Pol-Duffing oscillator. Meanwhile, the comparisons between the results of the EHAM and standard Runge-Kutta numerical method are also presented. The results demonstrate that the analytical approximate solutions of the EHAM agree well with the numerical integration solutions. For EHAM as an analytical approximation method, we are not sure whether it can apply to all of the nonlinear systems; we can only verify its effectiveness through specific cases. As a result of the existence of nonlinear terms, we must study different types of systems, no matter from the complication of calculation and physical significance.
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 34C14
zbMATH DE Number: 7022964
Wikidata QID: Q59040994
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/729184
OpenAlex ID: W2051840718
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description: scientific article; zbMATH DE number 7022964