On a method for mathematical modeling of chemical synapses
- 1 October 2013
- journal article
- Published by Pleiades Publishing Ltd in Differential Equations
- Vol. 49 (10), 1193-1210
- https://doi.org/10.1134/s0012266113100017
Abstract
We introduce a new mathematical model of a circular neural network with unidirectional chemical bonds. The model is a singularly perturbed system of delay differential-difference equations. We study the existence and stability of relaxation periodic motions in the system. It is proved that the well-known buffer phenomenon can occur in the model.Keywords
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