Oscillator with Random Mass

• 作者: Moshe Gitterman
• 来源期刊: 力学国际期刊(英文)
• 学科: 数学
• 关键词: HARMONIC OSCILLATOR Fluctuating MASS Stability Conditions RESONANCE PHENOMENA
• 年，卷（期）: 2012,（2）
• 页码范围: 113-124
• 页数: 12页
• 分类号: O1

摘要

We consider an oscillator with a random mass for which the particles of the surrounding medium adhere to the oscillator for some random time after the collision (Brownian motion with adhesion). This is another form of a stochastic oscillator, different from oscillator usually studied that is subject to a random force or having random frequency or random damping. We calculated first two moments for different form of a random force, and studied different resonance phenomena (stochastic resonance, vibration resonance and “erratic” behavior) interposed between order and chaos.