We fabricate a biometric laser fiber synaptic sensor to transmit information from one neuron cell to the other by an optical way. The optical synapse is constructed on the base of an erbium-doped fiber laser, whose pumped diode current is driven by a pre-synaptic FitzHugh-Nagumo electronic neuron, and the laser output controls a post-synaptic FitzHugh-Nagumo electronic neuron. The implemented l...

System of signals propagation from one neuron to other represent event of very complex electrochemical mechanism. In this work, we studied the dynamics of modified FitzHugh-Nagumo multi neuron model with sinusoidal external stimulation. In this paper, the coupled model is established on the basis of spiking neuron model, and then the relation of bidirectional coupling strength of the gap juncti...

Numerical studies indicate that the FitzHugh–Nagumo system exhibits stable traveling pulses with oscillatory tails. In this paper, the existence of such pulses is proved analytically in the singular perturbation limit near parameter values where the FitzHugh–Nagumo system exhibits folds. In addition, the stability of these pulses is investigated numerically, and a mechanism is proposed that exp...

We consider the long-time behavior of a population mean-field oscillators modeling activity interacting excitable neurons in large population. Each neuron is represented by its voltage and recovery variables, which are solution to FitzHugh–Nagumo system, interacts with rest through linear coupling, presence noise. The aim paper study emergence collective oscillatory behaviors induced noise inte...

In this work, the solution of a boundary value problem is discussed via asemi analytical method. The purpose of the present paper is to inspect theapplication of the Adomian decomposition method for solving the Nagumo tele-graph equation. The numerical solution is obtained for some special cases sothat demonstrate the validity of method.

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...