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J. Portman, M. Khasin, S. W. Shaw and M. I. Dykman, “The Spectrum of an Oscillator with Fluctuating Mass and Nanomechanical Mass Sensing,” Bulletin of the American Physical Society March Meeting, Portland, 15-19 March 2010.

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.