A model for an electronic spiking neuron built with a memristive voltage-gated element

Abstract

This study introduces a mathematical model for an electronic circuit capable of emulating both spiking andbursting neurons. The circuit incorporates a memristor as the nonlinear element essential for generating excit-able dynamics. Our demonstrations illustrate that the model’s solutions effectively capture the qualitative fea-tures of circuit voltages and currents. Additionally, we provide interpretations of these qualitative characteristicsin the context of the underlying dynamics of the system.