Abstract
The stochastic resonance (SR) phenomenon induced by a multiplicative periodic signal in abistable system with cross-correlated noises and time delay is studied. Two cases havebeen considered: the case of a system with no delay and the case of a systemwith time-delayed feedback. The expressions for the signal-to-noise ratio (SNR)are derived, for both cases. The effects of the cross-correlated noise intensity(λ) and thedelay time (τ) on the SNR are discussed. It is found that the existence of a maximumin the SNR is the identifying characteristic of the SR phenomenon. Incontrast with the case for the SR induced by an additive signal, here bothλ and τ have critical values in SR when the SNR as a function of the noise intensities, i.e.,λ (orτ), suppressesthe SR for λ (or τ) below the critical value while it enhances the SR forλ (orτ) above thecritical value. τ suppresses the SR in the SNR as a function ofλ whileit enhances the SR in the SNR as a function of the noise intensities. The SNR is not only dependenton λ, τ and the noise intensities, but also on the initial condition of the system.
Published Version
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