Open Access
Translator Disclaimer
2014 Application of Extended Homotopy Analysis Method to the Two-Degree-of-Freedom Coupled van der Pol-Duffing Oscillator
Y. H. Qian, S. M. Chen, L. Shen
Abstr. Appl. Anal. 2014(SI57): 1-7 (2014). DOI: 10.1155/2014/729184

Abstract

The extended homotopy analysis method (EHAM) is presented to establish the analytical approximate solutions for two-degree-of-freedom (2-DOF) coupled van der Pol-Duffing oscillator. Meanwhile, the comparisons between the results of the EHAM and standard Runge-Kutta numerical method are also presented. The results demonstrate that the analytical approximate solutions of the EHAM agree well with the numerical integration solutions. For EHAM as an analytical approximation method, we are not sure whether it can apply to all of the nonlinear systems; we can only verify its effectiveness through specific cases. As a result of the existence of nonlinear terms, we must study different types of systems, no matter from the complication of calculation and physical significance.

Citation

Download Citation

Y. H. Qian. S. M. Chen. L. Shen. "Application of Extended Homotopy Analysis Method to the Two-Degree-of-Freedom Coupled van der Pol-Duffing Oscillator." Abstr. Appl. Anal. 2014 (SI57) 1 - 7, 2014. https://doi.org/10.1155/2014/729184

Information

Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07022964
MathSciNet: MR3193540
Digital Object Identifier: 10.1155/2014/729184

Rights: Copyright © 2014 Hindawi

JOURNAL ARTICLE
7 PAGES


SHARE
Vol.2014 • No. SI57 • 2014
Back to Top