Stability of a random process with a 1/f spectrum under deterministic action

The stability of the resultant process, which appears upon the interaction of a random process having a 1/f spectrum with a deterministic action, is analyzed using the entropy maximum principle. Under the action of a harmonic force, stable resultant processes are divided into two branches depending on the amplitude of the harmonic force. Due to an exponential relaxation upon an increase in the damping coefficient, the resultant process acquires the Lorentz spectrum without high-energy low-frequency spikes.