Dynamic behavior of integro-differential CNN model
Angela Slavova, Zoya Zafirova · AIP conference proceedings · 2018
In this paper we consider a class of integro-differential equations (IDE) arising in neuro sciences. We model the IDE by Cellular Nonlinear Networks (CNN) architecture. Dynamics of the obtained CNN model is studied by means of describing function method. We prove existence of periodic solutions of the CNN model under consideration and present computer simulations. As an example we study FitzHugh Nagumo IDE for the propagation of the voltage pulse through a nerve axon. Numerical simulations illustrate the obtained theoretical results.