论文标题

关于具有分布延迟的非自主神经网络的全球吸引力

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

论文作者

Berezansky, Leonid, Braverman, Elena

论文摘要

我们考虑一个具有分布式延迟的几个非线性方程的系统,并获得与延迟无关的绝对渐近稳定性条件。证明的想法是基于强大吸引子的概念。结果应用于Hopfield神经网络,Nicholson的Blowflies类型系统以及人口动态的隔室模型。

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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