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Iterative homotopy harmonic balancing approach for conservative oscillator with strong odd-nonlinearity
- Source :
-
Applied Mathematical Modelling . Apr2011, Vol. 35 Issue 4, p1717-1728. 12p. - Publication Year :
- 2011
-
Abstract
- Abstract: A new approach that the iterative homotopy harmonic balancing is presented for charactering and predicting analytical approximations of conservative oscillator with strong odd-nonlinearity in the paper. The new technique does not depend upon small parameter assumption and incorporates the salient features of both methods of the parameter-expansion and the harmonic balance. The results of applying this procedure to the studied examples that the cubic–quintic Duffing equation and Duffing-harmonic equation show the high accurate, simplicity and efficiency of the approach. The approach can be easily extended to other nonlinear oscillators. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0307904X
- Volume :
- 35
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Applied Mathematical Modelling
- Publication Type :
- Academic Journal
- Accession number :
- 56500093
- Full Text :
- https://doi.org/10.1016/j.apm.2010.10.004