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Homotopy analysis approach to Duffing-harmonic oscillator
Authors:Shao-dong Feng  Li-qun Chen
Affiliation:[1]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China [2]Department of Mechanics, Shanghai University, Shanghai 200444, P. R. China
Abstract:This paper uses the homotopy analysis for the Duffing-harmonic oscillator. The auxiliary parameter in the deformation equation is numerically determined. The response and the frequency of the Duffing-harmonic oscillator are calculated. The analytical results are validated in numerical simulations.
Keywords:Duffing-harmonic oscillator   homotopy analysis   approximate solution
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