Noisy oscillator: Random mass and random damping

Stanislav Burov, Moshe Gitterman

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


The problem of a linear damped noisy oscillator is treated in the presence of two multiplicative sources of noise which imply a random mass and random damping. The additive noise and the noise in the damping are responsible for an influx of energy to the oscillator and its dissipation to the surrounding environment. A random mass implies that the surrounding molecules not only collide with the oscillator but may also adhere to it, thereby changing its mass. We present general formulas for the first two moments and address the question of mean and energetic stabilities. The phenomenon of stochastic resonance, i.e., the expansion due to the noise of a system response to an external periodic signal, is considered for separate and joint action of two sources of noise and their characteristics.

Original languageEnglish
Article number052144
JournalPhysical Review E
Issue number5
StatePublished - 28 Nov 2016

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© 2016 American Physical Society.


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