Resonance phenomenon for a nonlinear system with fractional derivative subject to multiplicative and additive noise

Feng Guo, Xue-yuan Wang, Ming-wei Qin, Xiang-dong Luo and Jian-wei Wang

Physica A: Statistical Mechanics and its Applications, 2021, vol. 562, issue C

Abstract: The stochastic resonance (SR) phenomenon for a nonlinear system with fractional derivative driven by multiplicative and additive noise is investigated. Applying the generalized harmonic function approach and the adiabatic elimination theory, the signal-to-noise ratio (SNR) for the system is obtained. It is found that the SNR manifests SR behavior with the variety of the system parameters, with the variety of the system characteristic frequency and that of the strength of external additive noise. The SNR behaves nonmonotonically with the system fractional exponent.

Keywords: Stochastic resonance; Nonlinear system; Fractional derivative; Multiplicative noise; Additive noise (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:562:y:2021:i:c:s0378437120306579

DOI: 10.1016/j.physa.2020.125243

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