The homotopy perturbation method for a nonlinear oscillator with a damping

The homotopy perturbation method is extended to solve nonlinear oscillators with damping terms, and an explicit relationship between the frequency and amplitude is obtained, the main factor affecting the periodic property is revealed.

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Bibliographic Details
Published inJournal of low frequency noise, vibration, and active control Vol. 38; no. 3-4; pp. 1110 - 1112
Main Authors Yao, Shaowen, Cheng, Zhibo
Format Journal Article
LanguageEnglish
Published London, England SAGE Publications 01.12.2019
Sage Publications Ltd
SAGE Publishing
Subjects
Damping
Oscillators
Perturbation methods
Nonlinear oscillator
homotopy perturbation method
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Summary:The homotopy perturbation method is extended to solve nonlinear oscillators with damping terms, and an explicit relationship between the frequency and amplitude is obtained, the main factor affecting the periodic property is revealed.
ISSN:1461-3484
2048-4046
DOI:10.1177/1461348419836344