Memristor synaptic dynamics´ influence on synchronous behavior of two Hindmarsh-Rose neurons

Besides being at the basis of next-generation ultra-dense non-volatile memories, a nanoscale memristor also has the potential to reproduce the behavior of a biological synapse. As in a living creature the weight of a synapse is adapted by the ionic flow through it, so the conductance of a memristor is adjusted by the flux across or the charge through it depending on its controlling source. In this manuscript we consider two Hindmarsh-Rose neurons, coupled via a memristive device mimicking a biological synapse. We investigate how the dynamics of the memristive element may influence the syncronization properties of the network.