Phase synchronization between two thermo-photoelectric neurons coupled through a Josephson Junction

The transmission and encoding of information in the brain has been the subject of much research. The aim is to improve biophysical functions and to design reliable artificial synapses for the connection of several biological neurons. In this manuscript, it is coupled through a hybrid synapse two FitzHugh-Nagumo neural circuits driven simultaneously by a phototube and a thermistor. The hybrid synapse is based on an ideal Josephson Junction in parallel with a linear resistance. This configuration allows the evaluation of the external magnetic field in the neural circuit. Using the standard scale transformation on the physical variables and parameters, we obtain the mathematical model of the coupled neurons. A bifurcation analysis on the intrinsic parameters of the coupling channel is carried out to demonstrate the complete synchronization and phase synchronization. It can be seen a synchronization stability when the parameters of the coupling channel are well defined. To practically confirm these results, an electronic circuit is designed using discrete electronic components and multipliers. Thanks to the simulations in the PSpice software, we see that this circuit can well and well be used to estimate the effect of the external magnetic field on a coupled neural circuit and predict a stable synchronization.

Automated summary

This article explores the transmission and encoding of information in the brain, aiming to improve biophysical functions and design reliable artificial synapses. By using a hybrid synapse and coupled neural circuits, the effect of external magnetic field on the neural circuit is evaluated. Through analysis of the parameters of the coupling channel, synchronization stability is demonstrated. The design and simulation of an electronic circuit confirm the theoretical results.