2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/19934The synapses of real neural systems seem to have delays. Therefore, it is worthwhile to analyze associative memory models with delayed synapses. Thus, a sequential associative memory model with delayed synapses is discussed, where a discrete synchronous updating rule and a correlation learning rule are employed. Its dynamic properties are analyzed by the statistical neurodynamics. In this paper, we first re-derive the Yanai-Kim theory, which involves macrodynamical equations for the dynamics of the network with serial delay elements. Since their theory needs a computational complexity of $O(L^4t)$ to obtain the macroscopic state at time step t where L is the length of delay, it is intractable to discuss the macroscopic properties for a large L limit. Thus, we derive steady state equations using the discrete Fourier transformation, where the computational complexity does not formally depend on L. We show that the storage capacity $α_C$ is in proportion to the delay length L with a large L limit, and the proportion constant is 0.195, i.e., $α_C = 0.195 L$. These results are supported by computer simulations.17 pages, 10figuresDisordered Systems and Neural NetworksQuantitative Biologytext