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Stability Analysis of Damped Cubic-Quintic Duffing Oscillator

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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.

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Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

*World Journal of Mechanics*, Vol. 3 No. 1, 2013, pp. 43-57. doi: 10.4236/wjm.2013.31003.

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