Memorization in Neutrally Stable Circuits Involving Delay

The zero input future behaviour of a dynamical system is determined by its initial state or initial function. For nontrivial regulatory systems involving adoption, learning, specialization, differentiation that corresponds to the memorization of initial information. In this work, we studied neutrally stable systems involving delays, under aspect of memorization. In particular we showed that those systems are capable of memorizing initial functions which are capable of conveying much more information with respect to the initial states memorized by ODE systems. To generate the discussed class of systems we incorporated the delayed derivative of the state variables in the right hand side of conventional DDEs.