2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/215856We study theoretically a bistable systems with time-delayed feedback driven by weak periodic force. The effective potential function and the steady-state probability density are derived. The delay time and the strength of its feedback can change the shapes of the potential wells. In the adiabatic approximation, the signal-to-noise ratio (SNR) of the system with a weak periodic force is obtained. The time-delayed feedback modulates the magnitude of SNR by changing the shape of the potential and the effective strength of signal. The maximum of SNR decreases with increasing the feedback intensity $ε$. When $ε$ is negative (or positive), the time delay can suppress (or promote) the stochastic resonance phenomenon.5 pages, 3 figures. any comment are favoredStatistical MechanicsOther Condensed Mattertext