  In the present paper which is a sequel to [N.B. Volkov and A.M. Iskoldsky The
dynamics of vortex structures and states of current: 1;[1]], the dynamics of
non-equilibrium phase transitions and states of current in electrophysical
systems providing an external circuit and a nonlinear element the model of
which has been developed in [1] (in the development of the model local kinetic
transport coefficients were assumed to be constant), has been analyzed and
simulated. A non-equilibrium phase transition has been shown to be induced by
large-scale hydrodynamic fluctuations (vortex structures). Critical exponents
of the amplitude singular behavior (the order parameters) for three types of
circuits have been determined. Non-equilibrium phase transitions induced by
external harmonic noise with a random or a determined phase have been studied.
The detuning between an external noise frequency and natural frequencies of a
nonlinear element determined by large-scale hydrodynamic fluctuations have been
shown to give rise to random oscillations, which are typical of a strange
attractor. When the frequencies coincide, a limit cycle appears in the system,
which is characterized by the fact that the phase trajectory does not fill the
phase space completely.
