A neuron circuit based on memristor and negative capacitor: Dynamics analysis and hardware implementation

The study of neuron design and firing patterns is of great significance for understanding human brain nerve function. In this paper, a novel third-order neuron circuit including an active memristor, a negative capacitor, and an inductor is proposed to investigate the firing patterns and multistability. On the one hand, the proposed neuron can generate multiple firing patterns like chaotic bursting, chaotic spiking, periodic spiking, transient chaotic spiking, and so on. On the other hand, the phenomenon of firing multistability with a variety of firing patterns coexisting can be observed by changing the initial states of the neuron circuit. Finally, we replace the memristor and negative capacitor with their corresponding circuit emulators to complete the hardware implementation, which manifests the validity of the proposed neuron circuit.