Noise-induced chaos and 1/f Power Spectrum at Nonequilibrium Phase Transitions

Abstract

In a system of equations simulating of nonequilibrium phase transitions under external periodic action, chaotic regimes with the onset of strange attractors are found. The region of chaotic behavior in the coordinates of the frequency and amplitude of the periodic action is determined. Critical transitions of a merging between attractors are found, which are characterized by low-frequency 1/f behavior of power spectra and power-law distributions of amplitudes. Outside the chaotic region, the additional effect of white noise on the system leads to noise-induced dynamical chaos.