Stability Analysis of Damped Cubic-Quintic Duffing Oscillator

• 作者: Joshua I. Nwamba Moses O. Oyesanya
• 来源期刊: 力学国际期刊(英文)
• 学科: 数学
• 关键词: DUFFING OSCILLATOR Cubic-Quintic Damping FORCING Chaos Derivative Expansion Stability
• 年，卷（期）: 2013,（1）
• 页码范围: 43-57
• 页数: 15页
• 分类号: O1

摘要

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.