%0 Journal Article
%T Harmonic Oscillator with Fluctuating Mass
%A Moshe Gitterman
%J Journal of Modern Physics
%P 1136-1140
%@ 2153-120X
%D 2011
%I Scientific Research Publishing
%R 10.4236/jmp.2011.210140
%X 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.
%K Stochastic Oscillator
%K Random Mass
%K Stability
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=8051