Harmonic oscillator with fluctuating damping parameter

M. Gitterman

Research output: Contribution to journalArticlepeer-review

108 Scopus citations


The multiplicative noise in the equation of motion of an underdamped harmonic oscillator produced by a fluctuating damping parameter has a dramatic effect on the average coordinate of an oscillator. Noise of a sufficiently large strength leads to an instability. In the presence of an external periodic force, the output signal shows a nonmonotonic dependence on the strength and the rate of a color noise (stochastic resonance). Contrary to the case of a random frequency, this effect exists for white noise as well.

Original languageEnglish
Pages (from-to)4
Number of pages1
JournalPhysical Review E
Issue number4
StatePublished - 2004


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