RSS feeds
РусскийEnglish
Issue 4, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1991

 / 

August

←  →

Reviews of topical problems


Kinematics of autowave structures in excitable media

 a, b, ,
a MIREA - Russian Technological University, prosp. Vernadskogo 78, Moscow, 119454, Russian Federation
b Institute 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.

Fulltext pdf (1.1 MB)
Fulltext is also available at DOI: 10.1070/PU1991v034n08ABEH002462
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)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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

Cited by (82) Similar articles (20) ↓

  1. A.V. Gurevich, R.G. Mints “Localized waves in inhomogeneous media” 27 19–41 (1984)
  2. B.S. Kerner, V.V. Osipov “Autosolitons” 32 101–138 (1989)
  3. S.L. Sobolev “Transport processes and traveling waves in systems with local nonequilibrium” 34 (3) 217–229 (1991)
  4. G.R. Ivanitskii, A.B. Medvinskii, M.A. Tsyganov “From the dynamics of population autowaves generated by living cells to neuroinformatics” 37 961–989 (1994)
  5. A.G. Merzhanov, É.N. Rumanov “Nonlinear effects in macroscopic kinetics” 30 293–316 (1987)
  6. A.S. Mikhailov, I.V. Uporov “Critical phenomena in media with breeding, decay, and diffusion” 27 695–714 (1984)
  7. G.R. Ivanitskii “The self-organizing dynamic stability of far-from-equilibrium biological systems” 60 705–730 (2017)
  8. A.V. Getling “Formation of spatial structures in Rayleigh—Bénard convection” 34 (9) 737–776 (1991)
  9. L.M. Zelenyi, A.V. Milovanov “Fractal topology and strange kinetics: from percolation theory to problems in cosmic electrodynamics” 47 749–788 (2004)
  10. B.N. Belintsev “Dissipative structures and the problem of biological pattern formation” 26 775–800 (1983)
  11. V.K. Vanag “Waves and patterns in reaction-diffusion systems. Belousov-Zhabotinsky reaction in water-in-oil microemulsions” 47 923–941 (2004)
  12. V.I. Klyatskin, V.I. Tatarskii “Diffusive random process approximation in certain nonstationary statistical problems of physics” 16 494–511 (1974)
  13. G.R. Ivanitskii, A.B. Medvinskii, M.A. Tsyganov “From disorder to order as applied to the movement of micro-organisms” 34 (4) 289–316 (1991)
  14. G.I. Strelkova, V.S. Anishchenko “Spatio-temporal structures in ensembles of coupled chaotic systems” 63 145–161 (2020)
  15. L.M. Martyushev “Мaximum entropy production principle: history and current status” 64 558–583 (2021)
  16. M.I. Rabinovich, M.M. Sushchik “The regular and chaotic dynamics of structures in fluid flows” 33 (1) 1–35 (1990)
  17. Yu.L. Klimontovich “Problems in the statistical theory of open systems: Criteria for the relative degree of order in self-organization processes” 32 416–433 (1989)
  18. G.A. Malygin “Dislocation self-organization processes and crystal plasticity” 42 887 (1999)
  19. V.P. Skripov, A.V. Skripov “Spinodal decomposition (phase transitions via unstable states)” 22 389–410 (1979)
  20. A.S. Monin “On the nature of turbulence” 21 429–442 (1978)

The list is formed automatically.
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions