Mathematical Modeling of Autowave Processes in a Cell with Nanostructured Liquid

In this paper, a solution of the mathematical model of an autowave process in a thin nearelectrode layer of a magnetic fluid is found. A modification of the FitzHugh–Nagumo system taken as the basis of the mathematical model made it possible to obtain results similar to a full-scale experiment. As a...

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Veröffentlicht in:	Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-12, Vol.259 (3), p.341-348
Hauptverfasser:	Chekanov, V. V., Kandaurova, N. V., Chekanov, V. S., Shevchenko, M. Yu, Mirzahanov, S. R.
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Sprache:	eng
Schlagworte:	Adequacy Magnetic fluids Mathematical analysis Mathematical models Mathematics Mathematics and Statistics
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container_title	Journal of mathematical sciences (New York, N.Y.)
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creator	Chekanov, V. V. Kandaurova, N. V. Chekanov, V. S. Shevchenko, M. Yu Mirzahanov, S. R.
description	In this paper, a solution of the mathematical model of an autowave process in a thin nearelectrode layer of a magnetic fluid is found. A modification of the FitzHugh–Nagumo system taken as the basis of the mathematical model made it possible to obtain results similar to a full-scale experiment. As a criterion for the adequacy of the model, we use a visual correspondence to the experiment and the presence in the solution of typical phenomena observed in the autowave process, such as reverbs, pacemakers, bypassing of obstacles, etc.
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subjects	Adequacy Magnetic fluids Mathematical analysis Mathematical models Mathematics Mathematics and Statistics
title	Mathematical Modeling of Autowave Processes in a Cell with Nanostructured Liquid
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