TITLE:
Oscillator with Random Mass
AUTHORS:
Moshe Gitterman
KEYWORDS:
Harmonic Oscillator; Fluctuating Mass; Stability Conditions; Resonance Phenomena
JOURNAL NAME:
World Journal of Mechanics,
Vol.2 No.2,
April
26,
2012
ABSTRACT: 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.