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

Abstract

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.

Dynamics analysis of memristor chaotic circuit with coexisting hidden attractors

“…It confirmed the existence of the fourth basic circuit element, that is memristor. The memristor have attracted the attention of many scholars for their potential applications in cellular neural network [2,3], associative and non-associative learning [4,5], circuit implemented electronic neurons [6], memory circuit [7], nonlinear oscillating circuits and other fields [8][9][10][11]. Because of the unique nonlinear characteristics of memristor, the chaotic circuit based on memristor has more abundant dynamic behaviors.…”

Firing activities in a fractional-order Hindmarsh–Rose neuron with multistable memristor as autapse

“…Lin et al constructed an HR neural network based on a tristable locally active memristor, and found that the proposed neural network produces three multi-stable phenomena with four different firing patterns simultaneously [33]. A model of HR neuron with four-stable locally active memristor as selfsynapses was proposed by Li et al and they found that four stable firing patterns in the proposed neuron can be switched freely by selecting appropriate initial conditions [34]. With further development of memristor research, locally active memristor has been extended to fractionalorder form, and the related research has been carried out.…”