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.
International Frontier Science Letters (Volume 10)
S. Das "On the Renormalization Group Techniques for the Cubic-Quintic Duffing Equation", International Frontier Science Letters, Vol. 10, pp. 1-7, 2016