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Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (9): 1083-1089.doi: https://doi.org/10.1007/s10483-009-0902-7

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Homotopy analysis approach to Duffing-harmonic oscillator

FENG Shao-Dong1, CHEN Li-Qun1,2   

  1. 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
  • Received:2009-01-13 Revised:2009-06-30 Online:2009-09-01 Published:2009-09-01

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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.

Key words: Duffing-harmonic oscillator, homotopy analysis, approximate solution

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