World Journal of Mechanics
Volume 3, Issue 1 (February 2013)
ISSN Print: 2160-049X ISSN Online: 2160-0503
Google-based Impact Factor: 1 Citations h5-index & Ranking
Stability Analysis of Damped Cubic-Quintic Duffing Oscillator ()
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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.
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