Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1994-01-05
Nonlinear Sciences
Chaotic Dynamics
LaTeX, 23 PostScript figures, (E-mail: ami@ami.e-burg.su)
Scientific paper
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.
Iskoldsky Alexander M.
Volkov Nickolas B.
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