Generalized non-autonomous Cohen-Grossberg neural network model
Abstract
In the present paper, we investigate both the global exponential stability and the existence of a periodic solution of a general differential equation with unbounded distributed delays. The main stability criterion depends on the dominance of the non-delay terms over the delay terms. The criterion for the existence of a periodic solution is obtained with the application of the coincide degree theorem. We use the main results to get criteria for the existence and global exponential stability of periodic solutions of a generalized higher-order periodic Cohen-Grossberg neural network model with discrete-time varying delays and infinite distributed delays. Additionally, we provide a comparison with the results in the literature and a numerical simulation to illustrate the effectiveness of some of our results.
Cite
@article{arxiv.2309.10824,
title = {Generalized non-autonomous Cohen-Grossberg neural network model},
author = {Ahmed Elmwafy and José J. Oliveira and César M. Silva},
journal= {arXiv preprint arXiv:2309.10824},
year = {2023}
}
Comments
30 pages