On the limit cycles, period-doubling, and quasi-periodic solutions of the forced van der Pol-Duffing oscillator
type: Item
instance of: scholarly article
title: On the limit cycles, period-doubling, and quasi-periodic solutions of the forced van der Pol-Duffing oscillator
zbMATH Open document ID: 1445.65045
author: Jifeng Cui
author: Zeng Liu
author: Jianglong Sun
author: Wen-Yu Zhang
published in: Numerical Algorithms
publication date: 2018-08-10T00:00:00Z
review text: The authors investigate some periodically excited nonlinear equations, like the excited Van der Pol and Van der Pol-Duffing systems. Combining a Fourier expansion method with a homotopy technique to connect the solutions of the linear system to the solutions of the considered system, the authors prove that by using sufficiently many terms the time evolution of the system can be approximated with high accuracy.
reviewed by: Alois Steindl
Mathematics Subject Classification ID: 65P10
Mathematics Subject Classification ID: 34C46
Mathematics Subject Classification ID: 65L07
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 70K42
zbMATH DE Number: 6916370
zbMATH Keywords: van der Pol oscillator
zbMATH Keywords: limit cycles
zbMATH Keywords: quasi-periodicity
zbMATH Keywords: homotopy method
describes a project that uses: BVPh
MaRDI profile type: Publication
full work available at URL: s11075-017-0420-z
OpenAlex ID: W2759619534
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DOI: 10.1007/S11075-017-0420-Z
description: scientific article; zbMATH DE number 6916370