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arXiv · 2002.01516

On the global attractivity of non-autonomous neural networks with a distributed delay

Leonid Berezansky·Elena Braverman
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Abstract

We consider a system of several nonlinear equations with a distributed delay and obtain absolute asymptotic stability conditions, independent of the delay. The ideas of the proofs are based on the notion of a strong attractor. The results are applied to Hopfield neural networks, Nicholson's blowflies type system, and compartment models of population dynamics.

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Leonid Berezansky, Elena Braverman. 2020-02-04. On the global attractivity of non-autonomous neural networks with a distributed delay. https://doi.org/10.1088/1361-6544/abbc61

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