Mathematical modeling of autowave processes in a cell with nanostructured liquid

Abstract

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.