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Oscillator with Random Mass

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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.

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M. Gitterman, "Oscillator with Random Mass,"

*World Journal of Mechanics*, Vol. 2 No. 2, 2012, pp. 113-124. doi: 10.4236/wjm.2012.22013.

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