S. K. Lai, C. W. Lim, B. S. Wu, C. Wang, Q. C. Zeng and X. F. He, “Newton-Harmonic Balancing Approach for Accurate Solutions to Nonlinear Cubic-Quintic Duffing Oscillators,” Journal of Applied Mathematical Modelling, Vol. 33, No. 2, 2009, pp. 852-866. doi:10.1016/j.apm.2007.12.012

has been cited by the following article:

• TITLE: Stability Analysis of Damped Cubic-Quintic Duffing Oscillator

  AUTHORS: Moses O. Oyesanya, Joshua I. Nwamba

  KEYWORDS: Duffing Oscillator; Cubic-Quintic; Damping; Forcing; Chaos; Derivative Expansion; Stability

  JOURNAL NAME: World Journal of Mechanics, Vol.3 No.1, February 7, 2013

  ABSTRACT: This paper presents a comprehensive stability analysis of the dynamics of the damped cubic-quintic Duffing oscillator. We employ the derivative expansion method to investigate the slightly damped cubic-quintic Duffing oscillator obtaining a uniformly valid solution. We obtain a uniformly valid solution of the un-damped cubic-quintic Duffing oscillator as a special case of our solution. A phase plane analysis of the damped cubic-quintic Duffing oscillator is undertaken showing some chaotic dynamics which sends a signal that the oscillator may be useful as model for prediction of earth- quake occurrence.