On a Method of Mathematical Modeling of Electrical Synapses
Sergey Dmitrievich Glyzin, A. Yu. Kolesov · Differential Equations · 2022
Abstract We introduce a new mathematical model of a neural network with electrical connections. The model is a singularly perturbed system of delay differential–difference equations. Some methods for studying the existence and stability of periodic relaxation motions in this system are presented. In the case of diffusion and symmetric fully connected neural networks, we establish that the well-known buffering phenomenon can be realized in the corresponding mathematical models.