Delay-induced multiple vibrational resonance in the bi-fan neuronal network motifs

Delay-induced multiple vibrational resonance in the bi-fan neuronal network motif is investigated in this paper. On the basis of the Izhikevich neuron model, three different types of bi-fan motifs are established to explore the impact of the external environments and intrinsic features of the bi-fan network motif on the vibrational resonance. Numerical results exhibit that the correlation between the weak periodic signal´s frequency and the dynamical response of the network motifs is resonantly dependent on not only the intensity of additive high-frequency signals, but also the information delay. Interestingly, in the existence of the medium high-frequency signals´ intensity, the large coupling strength always plays a positive role in promoting the vibrational resonance. In addition, various combinations of the input neurons seem to bring different phenomena with their individual mechanism. Especially, for both excitatory input neurons, the intensity of the high-frequency signals needed can remain a constant value for different coupling strength in the motif, but for the both inhibitory input neurons, the intensity of the high-frequency signals to induce an optimal effect of vibrational resonance will increase as the coupling strength increases. More interestingly, information delay always has a significant impact on the vibrational resonance for these motifs.