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Frequency–amplitude relationship of nonlinear oscillators by He’s parameter-expanding method

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  • Tao, Zhao-Ling

Abstract

In this paper, He’s parameter-expanding method (PEM) is used to obtain the nonlinear frequency–amplitude relationship of nonlinear oscillators. The obtained result is valid even for the case when the amplitude tends to infinite; revealing that He’s method is very effective and convenient.

Suggested Citation

  • Tao, Zhao-Ling, 2009. "Frequency–amplitude relationship of nonlinear oscillators by He’s parameter-expanding method," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 642-645.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:2:p:642-645
    DOI: 10.1016/j.chaos.2008.02.036
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    References listed on IDEAS

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    1. He, Ji-Huan, 2005. "Limit cycle and bifurcation of nonlinear problems," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 827-833.
    2. He, Ji-Huan & Wu, Xu-Hong, 2006. "Exp-function method for nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 700-708.
    3. He, Ji-Huan, 2007. "Variational approach for nonlinear oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1430-1439.
    4. Cveticanin, L., 2006. "Homotopy–perturbation method for pure nonlinear differential equation," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1221-1230.
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