Regulation of firing rhythms in a four‐stable memristor‐based Hindmarsh–Rose neuron

This letter presents a novel locally active memristor with four-stable pinched hysteresis loops which has never been reported before. The non-volatile memory and local activity of the memristor are verified by the power-off plot and DC V–I plot. A memristive Hindmarsh–Rose (HR) neuron model is constructed by employing the proposed memristor to characterize the electromagnetic induction effect on the membrane potential. Co-existing multiple firing patterns are explored under different memristor initial states. Interestingly, the firing rhythms of the neuron model can be regulated by adjusting the memristor initial values in different stable regions. Circuit simulations are included to verify the theoretical analysis.