Generalized non-autonomous Cohen-Grossberg neural network model

Ahmed Elmwafy; José J. Oliveira; César M. Silva

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arXiv · 2309.10824

Generalized non-autonomous Cohen-Grossberg neural network model

Ahmed Elmwafy·José J. Oliveira·César M. Silva

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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.

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Ahmed Elmwafy, José J. Oliveira, César M. Silva. 2023-09-04. Generalized non-autonomous Cohen-Grossberg neural network model. https://arxiv.org/abs/2309.10824

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