Controlling Synchronization of Modified FitzHugh-Nagumo Neurons under External Electrical Stimulation

Abstract

We report control of synchronization between pair of coupled neurons under external electrical stimulation. A nonlinear controlling mechanism is proposed for keeping the coupled system in synchronized state. We studied transitions between synchrony and asynchrony because of variation in coupling strength. We discuss the dynamical analysis for the Modified FitzHugh-Nagumo neuron model in detail. This work focuses the application of control system theory for understanding possible synchronization phenomena in a pair of biological neuron models.