In this paper, we consider the interaction between the ensembles of nonlinear elements, demonstrated both the chimera state and coherent or incoherent state, in the framework of a multilayer network model. We show that the interaction between a layer, which demonstrates chimera state, and the layer of completely coherent or incoherent oscillators, leads in case of the weak interlayer coupling, to the suppression of chimera and transition to the coherent or incoherent state, and in case of the strong interlayer coupling - to the excitation of chimera state from both coherent or incoherent oscillators.
89.75.Hc Networks and genealogical trees
$^1$REC «Nonlinear Dynamics of Complex Systems», Saratov State Technical University, Saratov, 410054, Russia
$^2$The Government of the Saratov Region, Saratov, 410042, Russia
$^3$Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata, 700108, India
$^4$CSIR-Indian Institute of Chemical Biology, Kolkata, 700032, India
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