Time scales in linear delayed differential equations Sanchez, E. De la Parra, R.B. /Auger, Pierre Gomez Mourelo, P. singular perturbations aggregation of variables delayed differential equations two time scales The aim of this paper is to apply and justify the so-called aggregation of variables method for reduction of a complex system of linear delayed differential equations with two time scales: slow and fast. The difference between these time scales makes a parameter epsilon > 0 to appear in the formulation, being a mathematical problem of singular perturbations. The main result of this work consists of demonstrating that, under some hypotheses, the solution to the perturbed problem converges when epsilon -> 0 to the solution of an aggregated system whose construction is proposed. (c) 2005 Elsevier Inc. All rights reserved. 2006 text https://www.documentation.ird.fr/hor/fdi:010037626 fdi:010037626 Sanchez E., De la Parra R.B., Auger Pierre, Gomez Mourelo P.. Time scales in linear delayed differential equations. 2006, 323 (1), 680-699 EN