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Periodic solutions of Duffing equation with strong non-linearity

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  • Marinca, Vasile
  • Herişanu, Nicolae

Abstract

In this paper, the variational iteration procedure is described and used to give approximate periodic solutions for Duffing equation with strong non-linearity. A correction functional is constructed by a general Lagrange multiplier, which can be identified via the variational theory. The approximate period of motion obtained by using this method is compared with the exact period known in the literature.

Suggested Citation

  • Marinca, Vasile & Herişanu, Nicolae, 2008. "Periodic solutions of Duffing equation with strong non-linearity," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 144-149.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:1:p:144-149
    DOI: 10.1016/j.chaos.2006.08.033
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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. Momani, Shaher & Abuasad, Salah, 2006. "Application of He’s variational iteration method to Helmholtz equation," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1119-1123.
    3. Moghimi, Mahdi & Hejazi, Fatemeh S.A., 2007. "Variational iteration method for solving generalized Burger–Fisher and Burger equations," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1756-1761.
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    Cited by:

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    2. Zhu, Jue & Yuan, Wei-bin & Li, Long-yuan, 2021. "Cross-sectional flattening-induced nonlinear damped vibration of elastic tubes subjected to transverse loads," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).

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