2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80115For the first time, using a modified Ikeda model it is demonstrated analytically that anticipating synchronization can be obtained in chaotic time-delay systems governed by two characteristic delay times. We derive existence and stability conditions for the dual-time anticipating synchronization manifold. We also show that increased anticipation times for chaotic time-delay systems with two characteristic delay times can be obtained by the use of cascaded systems.LaTex 6 pages, resubmitted to PREChaotic DynamicsAnalytical Investigation of Anticipating Synchronization in time-delayed and Cascaded Systemstext