The aim of this work is to investigate the dynamics of a neural network, in which neurons, individually described by the FitzHugh-Nagumo model, are coupled by a generalized diffusive term. The formulation we are going to exploit is based on the general framework of graph theory. With the aim of defining the connection structure among the excitable elements, the discrete Laplacian matrix plays a...

This paper reviews our recent work on the synchronization of excitable systems in a master–slave configuration and when the slave system includes a delayed self-coupling term. Particularly, we address the existence of the so-called anticipated synchronization, i.e. a dynamical regime in which the slave system is able to reproduce in advance the evolution of the master. This is most remarkable s...

The fractional calculus in the neuronal models provides memory properties. In fractional-order model, dynamics of neuron depends on derivative order, which can produce various types memory-dependent dynamics. this paper, behaviors coupled FitzHugh–Nagumo neurons are investigated. effects coupling strength and order under consideration. It is revealed that level synchronization decreased by decr...