Multiple resonances with time delays in scale-free networks of Hodgkin–Huxley neurons subjected to non-Gaussian noise

The spiking behavior with varying time delay in scale-free networks of Hodgkin–Huxley neurons with non-Gaussian noise has been studied,and the effect of non-Gaussian noise on the delay-induced spiking behavior is discussed. It was found that multiple spatio-temporal resonances occur when the delay lengths are integer multiples of the spiking periods,and the resonances may be strengthened when the non-Gaussian noise is appropriate. This result shows that time delays can optimize the spiking temporal regularity and spatial synchronization,and appropriate non-Gaussian noise may enhance the delay-induced spiking behaviors. Our findings may help to further understand the joint roles of non-Gaussian noise and time delays in the spiking activity of scale-free neuronal networks.