Mathematical Modeling of Autowave Processes in a Cell with Nanostructured Liquid
Journal of Mathematical Sciences(2021)
摘要
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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关键词
autowave,self-organization,magnetic fluid,FitzHugh–Nagumo model,mathematical modeling
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