Synchronization in networks of FitzHugh-Nagumo neurons with memristor synapses

Networks made up of bio-inspired neuron oscillatory circuits with nanoscale memristors may achieve the large connectivity and highly parallel processing power of biological systems. Memristor also has potential to reproduce the behavior of a biological synapse. As in a living creature the weight of a synapse is adapted by ionic flow through it, so the conductance of a memristor is controlled by flux across or charge through it. In order to point out the role of memristor as biological synapse, we focus on a simple bio-inspired network composed of two FitzHugh-Nagumo (FHN) neurons coupled via a memristor. In particular, we investigate how the dynamics of memristor can influence the interactions among neurons and their synchronization.