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M. I. Dykman, R. Mannela, P. V. E. McClintock, F. Moss, and M. Soskin, “Spectral Density of Fluctuations of a Double-Well Duffing Oscillator Driven by White Noise,” Physical Review A, Vol. 37, No. 4, 1988, pp. 1303-1313.
doi:10.1103/PhysRevA.37.1303
has been cited by the following article:
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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.