Phase noise-induced double coherence resonances in a neuronal model

Phase noise-induced single coherence resonance (CR) has been reported in previous studies. It is reported here that double CRs can be induced in the FitzHugh-Nagumo (FHN) model by phase noise when the oscillation period of phase noise is much larger than the firing period of the FHN model. By analyzing peaks in the power spectrums for the fast voltage variable and the coefficient variations (CVs) of interspike interval (ISI) series, we find that double CRs corresponding to the frequency of phase noise and the firing frequency of the FHN model respectively appear at small and large noise intensities. This implies that there are double chances for the FHN model to take advantage of the benefits of phase noise. Possible causes of the single CR are also discussed.