Dynamic chaos and the $(1/f)$ spectrum in the case of interacting nonequilibrium phase transitions

A system of two nonlinear stochastic equations is used to simulate fluctuations near a critical transition. Their interaction results in extreme fluctuations of temperature and heat fluxes with a $(1/f)$ spectrum in critical heat and mass transfer regimes. The interaction of large and small fluctuations in the critical domain is investigated, which can make it possible to explain the physical nature of $(1/f)$ noise and large fluctuations with power-series amplitude distribution, as well as their interaction with classical fluctuations. In the case of external periodic action on a system with interacting nonequilibrium phase transitions, the chaotic regimes characterized by unstable pulsation cycles are determined.