The logistic equation and a linear stochastic resonance

The logistic equation and a linear stochastic resonance. Góra, P. 2004.

We show analytically that a collective action of two correlated Gaussian white noises, a constant external forcing and a periodic signal leads to a linear stochastic resonance (LSR). The resonance persists for long times, survives averaging over the initial phase of the signal and is characterized by a clear maximum of the signal-to-noise ratio (SNR), unlike other cases of the LSR reported previously. We show that the problem of the LSR is closely related to the behavior of a generalized noisy logistic equation.

@CONFERENCE{Gora20041583,
author={Góra, P.F.},
title={The logistic equation and a linear stochastic resonance},
journal={Acta Physica Polonica B},
year={2004},
volume={35},
number={5},
pages={1583-1595},
url={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-2442686673&partnerID=40&md5=de0cd478bd748d1a52dab8eb03f790d2},
abstract={We show analytically that a collective action of two correlated Gaussian white noises, a constant external forcing and a periodic signal leads to a linear stochastic resonance (LSR). The resonance persists for long times, survives averaging over the initial phase of the signal and is characterized by a clear maximum of the signal-to-noise ratio (SNR), unlike other cases of the LSR reported previously. We show that the problem of the LSR is closely related to the behavior of a generalized noisy logistic equation.},
keywords={Correlation methods;  Logistics;  Resonance;  Signal processing;  Signal to noise ratio;  White noise, External force;  Linear stochastic resonance;  Logistic equation;  Periodic signal, Stochastic control systems},
document_type={Article},
source={Scopus},
}

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