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On the Renormalization Group Techniques for the Cubic-Quintic Duffing Equation

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Abstract:

We apply the renormalization group techniques for solving the nonlinear cubic-quintic Duffing equation in the presence of an external periodic, non-autonomous force with an additional damping term. We also make a comparative study with the multiple-time scale approach and show that the correction to the frequency is the same.

Info:

Periodical:
International Frontier Science Letters (Volume 10)
Pages:
1-7
DOI:
https://doi.org/10.18052/www.scipress.com/IFSL.10.1
Citation:
S. Das "On the Renormalization Group Techniques for the Cubic-Quintic Duffing Equation", International Frontier Science Letters, Vol. 10, pp. 1-7, 2016
Online since:
Dec 2016
Authors:
Supratim Das
Keywords:
Duffing Oscillator, Indicial Term, Multiple Time Scales, Renormalization Group
Export:
RIS, BibTeX, Text
Distribution:
Open Access

Creative Commons License
This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

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