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A Postverification Method for Solving Forced Duffing Oscillator Problems without Prescribed Periods

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  • Hong-Yen Lin
  • Chien-Chang Yen
  • Kuo-Ching Jen
  • Kang C. Jea

Abstract

This paper proposes a postverification method (PVM) for solving forced Duffing oscillator problems without prescribed periods. Comprising a postverification procedure and small random perturbation, the proposed PVM improves the sensitivity of the convergence of Newton’s iteration. Numerical simulations revealed that the PVM is more accurate and robust than Kubíček’s approach. We applied the PVM to previous research on bifurcation problems.

Suggested Citation

  • Hong-Yen Lin & Chien-Chang Yen & Kuo-Ching Jen & Kang C. Jea, 2014. "A Postverification Method for Solving Forced Duffing Oscillator Problems without Prescribed Periods," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-10, August.
    • Handle: RePEc:hin:jnljam:317460
    DOI: 10.1155/2014/317460
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