ICNPAA 2010: Mathematical Problems in
Engineering, Aerospace and Sciences

An impulsive Hopfield neural network with delay which differs from a constant by a small amplitude periodic perturbation is considered. If the corresponding system with constant delay has an isolated $\omega$−periodic solution and the period of the delay is rationally independent with $\omega$, then under suitable assumptions it is proved that in a sufficiently small neighbourhood of this orbit the perturbed system has a unique almost periodic solution.