Abstract
In this study, our concern is to compare and analyze stochastic resonance phenomenon in a pair of overdamped systems under two types of coupling: direct and diffusive. Under both types of coupling, we obtain the amplitude of average response of coupled systems, and SR is confirmed from non-monotonic behavior of amplitude with respect to noise level in command of linear stability. In direct interaction, coupling strength and noise level in stochastic resonance vary nearly over a straight line with negative slope whereas in diffusive coupling the behavior is contrasting. In addition, we analyze the asymptotic behavior of second moment and average response of mean field and it is found that the mean field variable exhibits SR only in direct coupling.
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