Attractor minimal sets for non-autonomous delay functional differential equations with applications for neural networks
Sylvia Novo, Rafael Obaya, Ana M. Sanz · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 2005
The dynamics of a class of non-autonomous, convex (or concave) and monotone delay functional differential systems is studied. In particular, we provide an attractivity result when two completely strongly ordered minimal subsets K 1 ≪ C K 2 exist. As an application of our results, sufficient conditions for the existence of global or partial attractors for non-autonomous delayed Hopfield-type neural networks are obtained.