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Homotopy analysis approach to Duffing-harmonic oscillator

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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.

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200072, P. R. China

    Shao-dong Feng  (冯少东) & Li-qun Chen  (陈立群)

  2. Department of Mechanics, Shanghai University, Shanghai, 200444, P. R. China

    Li-qun Chen  (陈立群)

Authors
  1. Shao-dong Feng  (冯少东)
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  2. Li-qun Chen  (陈立群)
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Corresponding author

Correspondence to Li-qun Chen  (陈立群).

Additional information

Contributed by Li-qun CHEN

Project supported by the Outstanding Youth Science Foundation of China (No. 10725209), the National Natural Science Foundation of China (No. 10672092), Shanghai Leading Talents Program, Shanghai Subject Chief Scientist Program (No. 09XD1401700), and Shanghai Leading Academic Discipline Project (No. Y0103)

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Feng, Sd., Chen, Lq. Homotopy analysis approach to Duffing-harmonic oscillator. Appl. Math. Mech.-Engl. Ed. 30, 1083–1089 (2009). https://doi.org/10.1007/s10483-009-0902-7

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  • DOI: https://doi.org/10.1007/s10483-009-0902-7

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2000 Mathematics Subject Classification

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