RSS feeds
РусскийEnglish
Issue 10, 2026
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

References (130) Cited by (88) Similar articles (20) ↓

  1. A.V. Gurevich, R.G. Mints “Localized waves in inhomogeneous media” Sov. Phys. Usp. 27 19–41 (1984)
  2. B.S. Kerner, V.V. Osipov “Self-organization in active distributed media: scenarios for the spontaneous formation and evolution of dissipative structures” Sov. Phys. Usp. 33 (9) 679–719 (1990)
  3. B.S. Kerner, V.V. Osipov “Autosolitons” Sov. Phys. Usp. 32 101–138 (1989)
  4. G.R. Ivanitskii, A.B. Medvinskii, M.A. Tsyganov “From the dynamics of population autowaves generated by living cells to neuroinformatics” Phys. Usp. 37 961–989 (1994)
  5. S.L. Sobolev “Transport processes and traveling waves in systems with local nonequilibrium” Sov. Phys. Usp. 34 (3) 217–229 (1991)
  6. G.I. Strelkova, V.S. Anishchenko “Spatio-temporal structures in ensembles of coupled chaotic systems” Phys. Usp. 63 145–161 (2020)
  7. A.G. Merzhanov, Rumanov É N “Nonlinear effects in macroscopic kinetics” Sov. Phys. Usp. 30 293–316 (1987)
  8. G.R. Ivanitskii, A.B. Medvinskii, M.A. Tsyganov “From disorder to order as applied to the movement of micro-organisms” Sov. Phys. Usp. 34 (4) 289–316 (1991)
  9. A.S. Mikhailov, I.V. Uporov “Critical phenomena in media with breeding, decay, and diffusion” Sov. Phys. Usp. 27 695–714 (1984)
  10. G.R. Ivanitskii “The self-organizing dynamic stability of far-from-equilibrium biological systems” Phys. Usp. 60 705–730 (2017)
  11. G.R. Ivanitskii “21st century: what is life from the perspective of physics?” Phys. Usp. 53 327–356 (2010)
  12. A.V. Getling “Formation of spatial structures in Rayleigh—Bénard convection” Sov. Phys. Usp. 34 (9) 737–776 (1991)
  13. M.A. Tsyganov, V.N. Biktashev et al “Waves in systems with cross-diffusion as a new class of nonlinear waves” Phys. Usp. 50 263–286 (2007)
  14. G.S. Kandaurova “New phenomena in the low-frequency dynamics of magnetic domain ensembles” Phys. Usp. 45 1051–1072 (2002)
  15. L.M. Zelenyi, A.V. Milovanov “Fractal topology and strange kinetics: from percolation theory to problems in cosmic electrodynamics” Phys. Usp. 47 749–788 (2004)
  16. V.L. Vinetskii, Yu.Kh. Kalnin’ et al “Radiation-stimulated aggregation of Frenkel defects in solids” Sov. Phys. Usp. 33 (10) 793–811 (1990)
  17. Yu.L. Klimontovich “Problems in the statistical theory of open systems: Criteria for the relative degree of order in self-organization processes” Sov. Phys. Usp. 32 416–433 (1989)
  18. G.A. Malygin “Dislocation self-organization processes and crystal plasticity” Phys. Usp. 42 887 (1999)
  19. B.P. Antonyuk, V.B. Antonyuk “Self-organization of excitations in Ge-doped silica fibers and its role in second harmonic generation” Phys. Usp. 44 53–70 (2001)
  20. G.A. Malygin “Strength and plasticity of nanocrystalline materials and nanosized crystals” Phys. Usp. 54 1091–1116 (2011)

The list is formed automatically.
© 1918–2026 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions