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Uspekhi Fizicheskikh Nauk, 1991, Volume 161, Number 8, Pages 45–85
DOI: https://doi.org/10.3367/UFNr.0161.199108b.0045 (Mi ufn7434) 		 
This article is cited in 83 scientific papers (total in 83 papers)

REVIEWS OF TOPICAL PROBLEMS

Kinematics of autowave structures in excitable media

V. A. Davydova, V. S. Zykovb, A. S. Mikhailovc

a Moscow Institute of Radio-Engineering, Electronics and Automation
b Institute of Control Sciences of the USSR Academy of Sciences
c Lomonosov Moscow State University
Full-text PDF (880 kB) Citations (83)
DOI: https://doi.org/10.3367/UFNr.0161.199108b.0045
Abstract: 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.
Received: April 17, 1991
English version:
Physics–Uspekhi, 1991, Volume 34, Issue 8, Pages 664–684
DOI: https://doi.org/10.1070/PU1991v034n08ABEH002462
Document Type: Article
UDC: 530.182
PACS: 05.65.+b, 05.60.-k, 02.60.Ed
Language: Russian
Citation: V. A. Davydov, V. S. Zykov, A. S. Mikhailov, “Kinematics of autowave structures in excitable media”, UFN, 161:8 (1991), 45–85; Phys. Usp., 34:8 (1991), 664–684
Citation in format AMSBIB
\Bibitem{DavZykMik91}
\by V.~A.~Davydov, V.~S.~Zykov, A.~S.~Mikhailov
\paper Kinematics of autowave structures in excitable media
\jour UFN
\yr 1991
\vol 161
\issue 8
\pages 45--85
\mathnet{http://mi.mathnet.ru/ufn7434}
\crossref{https://doi.org/10.3367/UFNr.0161.199108b.0045}
\transl
\jour Phys. Usp.
\yr 1991
\vol 34
\issue 8
\pages 664--684
\crossref{https://doi.org/10.1070/PU1991v034n08ABEH002462}
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