A Postverification Method for Solving Forced Duffing Oscillator Problems without Prescribed Periods
| Autor: | Chien-Chang Yen, Hong-Yen Lin, Kuo-Ching Jen, Kang C. Jea |
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| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
Article Subject
lcsh:Mathematics Applied Mathematics Duffing equation Random perturbation lcsh:QA1-939 Computer Science::Graphics Convergence (routing) Applied mathematics Computer Science::Programming Languages Sensitivity (control systems) Algorithm Bifurcation Computer Science::Distributed Parallel and Cluster Computing Mathematics |
| Zdroj: | J. Appl. Math. Journal of Applied Mathematics, Vol 2014 (2014) |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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