Spiking and bursting discharge behaviors in a memristor-based oscillator: analysis and circuit implementation

In this study, a voltage-controlled memristor was designed and connected in parallel with an inductor-capacitor to form an oscillator circuit. The memristor, as a natural electronic equivalent for building biological neurons, enabled this oscillator circuit to simulate the four types of firing patterns generated by neurons. By means of a two-parameter scan, a dynamic map of the discharges was created, allowing a more efficient dynamic analysis of the field, and the results were compared with the potassium-sodium ion model of the neuron. The analysis of the stability of the equilibrium point allowed a better understanding of the complex discharge mechanisms generated by the system. The results of the hardware tests and the numerical analysis were in agreement.