Stochastic Resonance in a Harmonic Oscillator with Random Mass Subject to Asymmetric Dichotomous Noise

M. Gitterman; I. Shapiro

doi:10.1007/s10955-011-0240-9

Stochastic Resonance in a Harmonic Oscillator with Random Mass Subject to Asymmetric Dichotomous Noise

M. Gitterman
, I. Shapiro

Department of Physics - at Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

We examine the stability conditions for the averaged moment of a harmonic oscillator having a quadratic random mass. The joint action of asymmetric dichotomous noise and an additional periodic force leads to stochastic resonance in this linear system, where the amplitude of the output signal shows non-monotonic dependence on the frequency of the input signal and the characteristics of the noise.

Original language	English
Pages (from-to)	139-149
Number of pages	11
Journal	Journal of Statistical Physics
Volume	144
Issue number	1
DOIs	https://doi.org/10.1007/s10955-011-0240-9
State	Published - Jul 2011

Keywords

Harmonic oscillator
Random mass
Stochastic resonance

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10.1007/s10955-011-0240-9

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abstract = "We examine the stability conditions for the averaged moment of a harmonic oscillator having a quadratic random mass. The joint action of asymmetric dichotomous noise and an additional periodic force leads to stochastic resonance in this linear system, where the amplitude of the output signal shows non-monotonic dependence on the frequency of the input signal and the characteristics of the noise.",

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AB - We examine the stability conditions for the averaged moment of a harmonic oscillator having a quadratic random mass. The joint action of asymmetric dichotomous noise and an additional periodic force leads to stochastic resonance in this linear system, where the amplitude of the output signal shows non-monotonic dependence on the frequency of the input signal and the characteristics of the noise.

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KW - Random mass

KW - Stochastic resonance

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Stochastic Resonance in a Harmonic Oscillator with Random Mass Subject to Asymmetric Dichotomous Noise

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