Математическое моделирование нелинейной электроконвекции идеального жидкого диэлектрика в переменном электрическом поле

Abstract

Mathematical modeling of nonlinear electroconvective regimes of an ideal liquid dielectric in an alternating electric field of a horizontal capacitor is carried out. The study was carried out using a low-mode electroconvection model for the case of weightlessness. As a result of the analysis of the obtained time dependences, their Fourier-spectra, calculations of the heat flow and the higher Lyapunov exponents, a map of nonlinear electroconvective regimes is constructed. The boundaries of the periodicity windows in the chaos region are determined. In the windows of periodicity, chaos occurs according to the Feigenbaum scenario.