2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/24633We present mathematically rigorous expressions for the residence-time and first-passage-time distributions of a periodically forced Brownian particle in a bistable potential. For a broad range of forcing frequencies and amplitudes, the distributions are close to periodically modulated exponential ones. Remarkably, the periodic modulations are governed by universal functions, depending on a single parameter related to the forcing period. The behaviour of the distributions and their moments is analysed, in particular in the low- and high-frequency limits.8 pages, 1 figure New version includes distinction between first-passage-time and residence-time distributionsDisordered Systems and Neural NetworksMathematical PhysicsProbabilitytext