This paper studies the synchronization of two coupled neurons using Fitzhugh-Nagumo model in the fractional-order domain. In general, studying systems in the fractional-order domain provides a wider scope view of their behavior. When the neuron is generalized into the fractional-order domain, the normal behaviors displayed in the integer case change. Furthermore, two neurons display various synchronization patterns. The neurons’ fractional-order system is solved using non-standard finite difference scheme together with Grunwald-Letnikov discretization. © 2016 IEEE.
Armanyos M., Radwan A.G., Madian A.H.
Fitzhugh-Nagumo model; Fractional order; Grunwald-Letnikov; neuron synchronization; non-standard finite difference
2016 3rd International Conference on Advances in Computational Tools for Engineering Applications, ACTEA 2016, Art. No. 7560133, PP. 168 to 171, Doi: 10.1109/ACTEA.2016.7560133