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M. Gitterman and I. Shapiro, “Stochastic Resonance in a Harmonic Oscillator with Random Mass Subject to Asymmetric Dichotomous Noise” Journal of Statistical Physics, Vol. 144, No. 1, 2011, pp. 139-149.

has been cited by the following article:

• 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.