Discrete traveling waves in a relay system of Mackey–Glass equations with two delays

We propose a model of a ring circuit of $m$ generators that is a relay analog of a circuit of Mackey–Glass generators. In this model, each of the generators is described by the limit Mackey–Glass equation. For this relay system, we prove the existence of a periodic solution of discrete traveling wave type, i.e., a solution all of whose $m$ components (describing the $m$ generators) are represented by the same periodic function phase-shifted with respect to one another.