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

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...

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Bibliographic Details
Published in:Physica A 2021-01, Vol.562, p.125243, Article 125243
Main Authors: Guo, Feng, Wang, Xue-yuan, Qin, Ming-wei, Luo, Xiang-dong, Wang, Jian-wei
Format: Article
Language:English
Subjects:
Additive noise
Fractional derivative
Multiplicative noise
Nonlinear system
Stochastic resonance
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Summary: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. •A fractional nonlinear system with derivative is investigated.•The signal-to-noise ratio (SNR) shows stochastic resonance with system parameters.•The SNR shows stochastic resonance (SR) with system characteristic frequency.•The SNR shows SR with strengths of multiplicative and additive noise.•The SNR behaves nonmonotonically with the system fractional exponent.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2020.125243