Events

DMS Applied Mathematics Seminar

Time: Oct 19, 2018 (02:00 PM)
Location: Parker Hall 328

Details:

Speaker: Basiru Usman

Title: Hopfield lattice model

Abstract: In this talk I will introduce the Hopfield neural network (HNN) proposed by J. J. Hopfield in 1984 which consists of n system of differential equations. The dynamics of HNN resembles that of neurobiology so it is natural to think of n been very large, so then I will introduce the Hopfield lattice model which is basically the extension of n system of differential equation to infinite. To incorporate the environmental noise we introduce randomness to the input term. Existence and uniqueness of solution, long term behavior are investigated.