Abstract
Electroconvective oscillations in nonuniformly heated dielectric liquid occurring in an alternating electric field between plates of a horizontal plane capacitor have been studied within the framework of a low-mode model. The general case of arbitrary frequencies and amplitudes of the electric field is considered and nonlinear dynamics of the convective structures arising as a result of the parametric instability is determined. Two classes of synchronous electroconvective oscillations in the system are found, and the competition and hysteresis of these regimes are analyzed. The average heat flux via the plane capacitor in one of these regimes is greater by a factor of 2.5 than the heat flux in the other regime. The transition to chaotic oscillations proceeds either via a quasi-periodic regime or directly from equilibrium. The boundaries of domains corresponding to various types of behavior of the dielectric liquid are determined in the space of parameters.
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