Kinematics of autowave structures in excitable media

V.A. Davydov^a, b, V.S. Zykov, A.S. Mikhailov
^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 an approximate approach to the description of complex space-time structures in different types of excitable media based on the kinematics of autowave fronts. Because of the generality and relative simplicity of the kinematic approach, it is possible to obtain analytical results for different types of autowave motion in two and three-dimensional excitable media. The kinematic approach is used to treat steady-state autowave structures and also to study the evolution of autowaves in inhomogeneous, time-dependent and anisotropic media.

PACS: 05.65.+b, 05.60.−k, 02.60.Ed (all)
DOI: 10.1070/PU1991v034n08ABEH002462
URL: https://ufn.ru/en/articles/1991/8/b/
Citation: Davydov V A, Zykov V S, Mikhailov A S "Kinematics of autowave structures in excitable media" Sov. Phys. Usp. 34 (8) 665–684 (1991)

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PT Journal Article
TI Kinematics of autowave structures in excitable media
AU Davydov V A
FAU Davydov VA
AU Zykov V S
FAU Zykov VS
AU Mikhailov A S
FAU Mikhailov AS
DP 10 Aug, 1991
TA Phys. Usp.
VI 34
IP 8
PG 665-684
RX 10.1070/PU1991v034n08ABEH002462
URL https://ufn.ru/en/articles/1991/8/b/
SO Phys. Usp. 1991 Aug 10;34(8):665-684

Оригинал: Давыдов В А, Зыков В С, Михайлов А С «Кинематика автоволновых структур в возбудимых средах» УФН 161 (8) 45–85 (1991); DOI: 10.3367/UFNr.0161.199108b.0045