Stochastic multiresonance in oscillators induced by bounded noise

Stochastic resonance (SR) in a harmonic oscillator with parametric bounded noise and external periodic force is investigated. By applying the property of bounded noise and using Cameron-Martin formula, infinite chains of linear differential equations are obtained for the spectral amplification, mean-square displacement, and variance. Multiple stochastic resonances are observed for these characteristics. Relationships with resonant tongues of the Mathieu equation are established. It is shown that similar effects can be observed in the case of harmonic noise external force. The case of two coupled oscillators is also studied. Analysis is based on a natural truncation of the infinite moment chains and using of the numerical matrix computations. (C) 2020 Elsevier B.V. All rights reserved.

Automated summary

Stochastic resonance in a harmonic oscillator with parametric bounded noise and external periodic force is investigated in this study. Multiple stochastic resonances are observed for spectral amplification, mean-square displacement, and variance, with relationships established with resonant tongues of the Mathieu equation. Similar effects can be observed in the case of harmonic noise external force, and the study also includes analysis of two coupled oscillators based on numerical matrix computations.