Phase noise-induced coherence resonance in three dimension memristive Hindmarsh-Rose neuron model

Phase noise derives from the phase random variation of signal in many physical or biological systems. Based on a three dimension memristive Hindmarsh-Rose neuron model, the influences of phase noise on the neural dynamic features are studied here. It is found that phase noise (an applied voltage source in the flux-controlled memristor) can induce the different hysteresis loops, and the strong phase noise can destroy the memory characteristic of the memristor. The amplitude, angular frequency and noise intensity of phase noise can obviously make the dynamic modes undergo successive transitions. The coherence resonance is related to the angular frequency of phase noise, and is a common phenomenon that persists for the amplitude of phase noise. These results might provide a possible mechanism behind the resonance phenomenon in nonlinear systems.