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Variational approach for nonlinear oscillators

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  • He, Ji-Huan

Abstract

We propose a novel variational approach for limit cycles of a kind of nonlinear oscillators. Some examples are given to illustrate the effectiveness and convenience of the method. The obtained results are valid for the whole solution domain with high accuracy.

Suggested Citation

  • He, Ji-Huan, 2007. "Variational approach for nonlinear oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1430-1439.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:5:p:1430-1439
    DOI: 10.1016/j.chaos.2006.10.026
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    References listed on IDEAS

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    1. He, Ji-Huan & Wu, Xu-Hong, 2006. "Construction of solitary solution and compacton-like solution by variational iteration method," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 108-113.
    2. Wu, Yue, 2007. "Variational approach to higher-order water-wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 195-198.
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    Cited by:

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    4. Ji-Huan He, 2012. "Asymptotic Methods for Solitary Solutions and Compactons," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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    11. A. A. Soliman, 2012. "Numerical Simulation of the FitzHugh‐Nagumo Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).

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