Structural stochastic multiresonance in a hierarchical network of coupled threshold elements

Structural stochastic multiresonance is observed in hierarchical networks with a tree-like structure, with non-dynamical threshold elements placed in the nodes and interacting along the edges of the network, driven by a common slowly varying periodic signal and independent noise sources. If the amplitude of the periodic signal is close to the threshold double maxima of the signal-to-noise ratio in the output of the top elements occur for a narrow range of the strength of connections, depending on the number of layers and the branching factor of the network. Additional maximum occurs at small noise intensities due to averaging of inputs received by the top elements from many branches of the network.