Homotopy Analysis Approach to the Duffing-Harmonic Oscillator

FENG Shao-dong; CHEN Li-qun

doi:10.3879/j.issn.1000-0887.2009.09.002

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FENG Shao-dong, CHEN Li-qun. Homotopy Analysis Approach to the Duffing-Harmonic Oscillator[J]. Applied Mathematics and Mechanics, 2009, 30(9): 1015-1020. doi: 10.3879/j.issn.1000-0887.2009.09.002

Citation:

FENG Shao-dong, CHEN Li-qun. Homotopy Analysis Approach to the Duffing-Harmonic Oscillator[J]. Applied Mathematics and Mechanics, 2009, 30(9): 1015-1020. doi: 10.3879/j.issn.1000-0887.2009.09.002

Citation:

FENG Shao-dong, CHEN Li-qun. Homotopy Analysis Approach to the Duffing-Harmonic Oscillator[J]. Applied Mathematics and Mechanics, 2009, 30(9): 1015-1020. doi: 10.3879/j.issn.1000-0887.2009.09.002

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Homotopy Analysis Approach to the Duffing-Harmonic Oscillator

doi: 10.3879/j.issn.1000-0887.2009.09.002

FENG Shao-dong¹,
CHEN Li-qun^1,2

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

Received Date: 2009-01-13
Rev Recd Date: 2009-07-20
Publish Date: 2009-09-15

Abstract

Abstract

The homotopy analysis is performed for the Duffing-harmonic oscillator.The auxiliary parameter in the deformation equation was numerically determined.The response and the frequency of the Duffing-harmonic oscillator were calculated.The analytical results are validated by the direct numerical simulations.
- Duffing-harmonic oscillator,
- homotopy analysis method,
- approximate solution

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References(15)

References

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