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2014 A Postverification Method for Solving Forced Duffing Oscillator Problems without Prescribed Periods
Hong-Yen Lin, Chien-Chang Yen, Kuo-Ching Jen, Kang C. Jea
J. Appl. Math. 2014: 1-10 (2014). DOI: 10.1155/2014/317460

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.

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Hong-Yen Lin. Chien-Chang Yen. Kuo-Ching Jen. Kang C. Jea. "A Postverification Method for Solving Forced Duffing Oscillator Problems without Prescribed Periods." J. Appl. Math. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/317460

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131513
MathSciNet: MR3256307
Digital Object Identifier: 10.1155/2014/317460

Rights: Copyright © 2014 Hindawi

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