Incorporating Damped Harmonic Oscillator in DSGE Models

Abstract: This paper integrates the damped harmonic oscillator into DSGE models to better capture delayed economic adjustments. By introducing a damping coefficient, I model economic recoveries as under-damped, critically damped, or over-damped processes. Numerical simulations illustrate how different damping levels affect recovery speed and stability. This approach enhances DSGE models' realism, offering insights into historical economic crises and improving macroeconomic forecasting.