Stochastic synchronization in a spatially distributed system with 1/$f$ power spectrum

A spatially distributed system of two nonlinear stochastic equations, which models 1/$f$ fluctuations in the interaction of nonequilibrium phase transitions, is investigated numerically. It has been shown that, for a high intensity of white noise, noise-induced synchronization in the form of a nonequilibrium phase transition is observed in the system. The critical point of the noise-induced transition corresponds to the information entropy peak.