Homotopy analysis approach to Duffing-harmonic oscillator

FENG Shao-Dong;CHEN Li-Qun

doi:10.1007/s10483-009-0902-7

Applied Mathematics and Mechanics >

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

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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 date: 2009-01-13

Revised date: 2009-06-30

Online 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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FENG Shao-Dong;CHEN Li-Qun . Homotopy analysis approach to Duffing-harmonic oscillator[J]. Applied Mathematics and Mechanics, 2009 , 30(9) : 1083 -1089 . DOI: 10.1007/s10483-009-0902-7

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