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H. M. Sedighi, K. H. Shirazi and J. Zare, “An Analytic Solution of Transversal Oscillation of Quintic Nonlinear Beam with Homotopy Analysis Method,” International Journal of Nonlinear Mechanics, Vol. 47, No. 10, 2012, pp. 777-784. doi:10.1016/j.ijnonlinmec.2012.04.008

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.