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Nonlinear oscillator with discontinuity by the max–min approach

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  • Zeng, De-Qiang

Abstract

The max–min method is applied to study the effect of amplitude of a nonlinear oscillator with discontinuity on frequency. The method was deduced from an ancient Chinese mathematics, called He Chengtian inequality. It reveals that the solution procedure is of utter simplicity while the solution is of remarkable accuracy.

Suggested Citation

  • Zeng, De-Qiang, 2009. "Nonlinear oscillator with discontinuity by the max–min approach," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2885-2889.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:5:p:2885-2889
    DOI: 10.1016/j.chaos.2009.04.029
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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, 2007. "Variational approach for nonlinear oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1430-1439.
    3. Cveticanin, L., 2006. "Homotopy–perturbation method for pure nonlinear differential equation," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1221-1230.
    4. Wang, Shu-Qiang & He, Ji-Huan, 2008. "Nonlinear oscillator with discontinuity by parameter-expansion method," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 688-691.
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