A Postverification Method for Solving Forced Duffing Oscillator Problems without Prescribed Periods
Hong-Yen Lin, Chien-Chang Yen, Kuo-Ching Jen and 1 more
Journal of Applied Mathematics · 2014
doi:10.1155/2014/317460 (opens in a new tab)
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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.
Abstract licence: CC BY
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