Galilean transformations and evolution of autowave fronts in external fields

V.A. Davydov^a, b, V.G. Morozov^a
^aMIREA - Russian Technological University, prosp. Vernadskogo 78, Moscow, 119454, Russian Federation
^bInstitute for High Pressure Physics, Russian Academy of Sciences, Kaluzhskoe shosse 14, Troitsk, Moscow, 108840, Russian Federation

We consider autowave regimes in two-dimensional excitable media in the presence of an external electric field, using Galilean transformations in the reaction-diffusion equations. It is shown that the transformation properties of these equations lead to some general relations for the autowave front and vortex drift velocities, independently of the concrete form of nonlinear terms in the equations. The general field dependence of the critical autowave characteristics is determined. Simple kinematic method discussed in this work is applicable for studying autowave evolution in three-dimensional and multicomponent excitable media.

PACS: 05.50.+q, 05.70.Ln, 82.40.−g, 87.10.+e (all)
DOI: 10.1070/PU1996v039n03ABEH000139
URL: https://ufn.ru/en/articles/1996/3/e/
Web of Science

A1996UL16500005
Citation: Davydov V A, Morozov V G "Galilean transformations and evolution of autowave fronts in external fields" Phys. Usp. 39 305–311 (1996)

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Оригинал: Давыдов В А, Морозов В Г «Галилеевы пpеобpазования и pаспpостpанение автоволновых фpонтов во внешних полях» УФН 166 327–334 (1996); DOI: 10.3367/UFNr.0166.199603e.0327