NETWORKS OF DELAY-DIFFERENTIAL EQUATIONS AND ASSOCIATIVE MEMORIES

A method for storing and retrieving spatio-temporal patterns in large systems of coupled delay differential equations is presented. Spatio-t emporal patterns are sets of finite sequences of binary variables of f ixed period that are embedded in the network dynamics as stable limit cycles. An input signal converges to the limit cycle that represents i t best. A given set of limit cycles is constructed using a generalizat ion of the correlation learning rule in the definition of the coupling s.