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The simpler, the better: Analytical methods for nonlinear oscillators and fractional oscillators
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Journal Article
The simpler, the better: Analytical methods for nonlinear oscillators and fractional oscillators
2019
Overview
In engineering, a fast estimation of the periodic property of a nonlinear oscillator is much needed. This paper reviews some simplest methods for nonlinear oscillators, including He’s frequency formulation, the max-min approach and the homotopy perturbation method. A mathematical insight into He’s frequency formulation is given, and the weighted average is introduced to further improve the estimated accuracy of the frequency. Fractional oscillators are also discussed.
Publisher
SAGE Publications,Sage Publications Ltd,SAGE Publishing
Subject
