Stability of low-frequency pulsations in a transient heat transfer regime upon phase transitions

Using the principle of maximum entropy, we investigate the stability of stochastic processes with the $1/f$ power spectrum in the system of two nonlinear stochastic differential equations when modeling pulsations in crisis and transient heat-mass transfer regimes with intensive phase transitions. An analysis of the stability of the resultant process, which appears upon the interaction of the stochastic process and the $1/f$ spectrum of external deterministic impact, is performed. Under the action of harmonic force, stable resultant processes are divided into two types depending on the amplitude of the harmonic force. We have experimentally studied the influence of harmonic impact on the stability of pulsations with the $1/f$ spectrum upon the crisis of water boiling on a heated wire. The results are in qualitative agreement with theoretical estimations.