2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80729We introduce the map representation of a time-delayed system in the presence of delay time modulation. Based on this representation, we find the method by which to analyze the stability of that kind of a system. We apply this method to a coupled chaotic system and discuss the results in comparison to the system with a fixed delay time.4 pages, 2 figures (submitted to Phys. Rev. E)Chaotic Dynamicstext