  We show that multiplexing allows to control noise-induced dynamics of
multilayer networks in the regime of stochastic resonance. We illustrate this
effect on an example of two- and multi-layer networks of bistable overdamped
oscillators. In particular, we demonstrate that multiplexing suppresses the
effect of stochastic resonance, if the periodic forcing is present in only one
layer. In contrast, the multiplexing allows to enhance the stochastic
resonance, if the periodic forcing and noise are present in all the interacting
layers. In such a case the impact of multiplexing has a resonant character: the
most pronounced effect of stochastic resonance is achieved for an appropriate
intermediate value of coupling strength between the layers. Moreover,
multiplexing-induced enhancement of the stochastic resonance can become more
pronounced for increasing number of coupled layers. To visualize the revealed
phenomena, we use the evolution of the dependence of the signal-to-noise ratio
on the noise intensity for varying strength of coupling between the layers.
