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K. Kitahara, W. Horsthemke and R. Lefever, “Phase Diagrams of Noise Induced Transitions,” Progress Theoretical Physics, Vol. 64, 1980, pp. 1233-1247. doi:10.1143/PTP.64.1233

has been cited by the following article:

• TITLE: Harmonic Oscillator with Fluctuating Mass

  AUTHORS: Moshe Gitterman

  KEYWORDS: Stochastic Oscillator, Random Mass, Stability

  JOURNAL NAME: Journal of Modern Physics, Vol.2 No.10, October 19, 2011

  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.