arXiv:2002.01516 Abstract | arXiv Analytics

arXiv:2002.01516 [math.DS]Abstract References Reviews Resources

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

Published 2020-02-04Version 1

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.

Comments: 21 pages; submitted

Categories: math.DS

Subjects: 34K20, 34K25, 92B20, 37C70

Keywords: non-autonomous neural networks, distributed delay, global attractivity, absolute asymptotic stability conditions, nicholsons blowflies type system

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