2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/15555We analytically determine the correlation functions of the stochastic response of a generic mapping system driven by colored noise. We also address the issue of noise cascading in coupled-element systems, particularly in a uni-directionally coupled system with dc-filtered coupling. A noise-feedback method and an opposite-pairing method are introduced to control the stochastic response. Excellent agreements are obtained between analytical results and numerical simulations.Latex, 19 pages with 4 figures in ps-fileChaotic Dynamicstext