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JOURNALS // Uspekhi Fizicheskikh Nauk // Archive

UFN, 1991 Volume 161, Number 8, Pages 45–85 (Mi ufn7434)

This article is cited in 83 papers

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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

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.

UDC: 530.182

PACS: 05.65.+b, 05.60.-k, 02.60.Ed

Received: April 17, 1991

DOI: 10.3367/UFNr.0161.199108b.0045


 English version:
Physics–Uspekhi, 1991, 34:8, 664–684


© Steklov Math. Inst. of RAS, 2024