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.