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

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 n...

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Bibliographic Details
Published inJournal of statistical physics Vol. 144; no. 1; pp. 139 - 149
Main Authors Gitterman, M., Shapiro, I.
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.07.2011
Springer
Subjects
Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
Stochastic resonance
Random mass
Harmonic oscillator
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Summary: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.
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-011-0240-9