English

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

Dynamical Systems 2021-05-26 v1

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.

Keywords

Cite

@article{arxiv.2002.01516,
  title  = {On the global attractivity of non-autonomous neural networks with a distributed delay},
  author = {Leonid Berezansky and Elena Braverman},
  journal= {arXiv preprint arXiv:2002.01516},
  year   = {2021}
}

Comments

21 pages; submitted