Coherence resonance and bi-resonance by time-periodic coupling strength in Hodgkin-Huxley neuron networks

We study the effect of time-periodic coupling strength on the spiking coherence of Newman Watts networks of Hodgkin-Huxley (HH) neurons with non-Gaussian noise. It is found that the spiking can exhibit coherence resonance (CR) when the extent of deviation of non-Gaussian noise from Gaussian noise and the amplitude of the coupling strength are varied. In particular, coherence bi-resonance (CBR) is observed when the frequency of the coupling strength is varied, and the CBR is always observed when the frequency is equal to, or a multiple of, the spiking period, manifesting as the locking between the frequencies of the spiking and the coupling strength. The results show that a time-periodic coupling strength may play a more constructive and efficient role in enhancing the spiking coherence of the neuronal networks than a constant coupling strength. These findings provide insight into the role of time-periodic coupling strength for enhancing the time precision of information processing in neuronal networks.