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Harmonic Oscillator with Fluctuating Mass

DOI: 10.4236/jmp.2011.210140, PP. 1136-1140

Keywords: Stochastic Oscillator, Random Mass, Stability

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Abstract:

We generalize the previously considered cases of a harmonic oscillator subject to a random force (Brownian motion), or having random frequency, or random damping. We consider here a random mass which corresponds to an oscillator where the particles of the surrounding medium adhere to the oscillator for some (random) time after collision, thereby changing the oscillator mass. Such a model is appropriate to chemical and biological solutions as well as to some nano-technological devices. The first moment and stability conditions for white and dichotomous noise are analyzed.

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