Issues

 / 

1992

 / 

August

  

Reviews of topical problems


Finite-dimensional spatial disorder

 a, ,
a Federal Research Center A.V. Gaponov-Grekhov Institute of Applied Physics of the Russian Academy of Sciences, ul. Ulyanova 46, Nizhny Novgorod, 603000, Russian Federation

The article discusses a new branch of the theory of disorder: the origin, stability and diagnostics of deterministic spatial chaos, i.e., the disorder that can be generated by a dynamical system. Problems are posed, some of which are solved.

Fulltext pdf (1.3 MB)
Fulltext is also available at DOI: 10.1070/PU1992v035n08ABEH002253
PACS: 61.44.Br, 61.30.Cz (all)
DOI: 10.1070/PU1992v035n08ABEH002253
URL: https://ufn.ru/en/articles/1992/8/a/
Citation: Rabinovich M I, Fabrikant A L, Tsimring L Sh "Finite-dimensional spatial disorder" Sov. Phys. Usp. 35 (8) 629–649 (1992)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Рабинович М И, Фабрикант А Л, Цимринг Л Ш «Конечномерный пространственный беспорядок» УФН 162 (8) 1–42 (1992); DOI: 10.3367/UFNr.0162.199208a.0001

References (58) Cited by (30) Similar articles (20) ↓

  1. M.I. Rabinovich, M.M. Sushchik “The regular and chaotic dynamics of structures in fluid flows33 (1) 1–35 (1990)
  2. B.S. Kerner, V.V. Osipov “Self-organization in active distributed media: scenarios for the spontaneous formation and evolution of dissipative structures33 (9) 679–719 (1990)
  3. A. Loskutov “Fascination of chaos53 1257–1280 (2010)
  4. V.A. Belyakov, V.E. Dmitrienko “The blue phase of liquid crystals28 535–562 (1985)
  5. H.D. Abarbanel, M.I. Rabinovich et alSynchronisation in neural networks39 337–362 (1996)
  6. V.S. Anishchenko, T.E. Vadivasova et alStatistical properties of dynamical chaos48 151–166 (2005)
  7. F.V. Dolzhanskii, V.A. Krymov, D.Yu. Manin “Stability and vortex structures of quasi-two-dimensional shear flows33 (7) 495–520 (1990)
  8. Ya.B. Zel’dovich, S.A. Molchanov et alIntermittency in random media30 353–369 (1987)
  9. S.N. Gurbatov, A.I. Saichev, I.G. Yakushkin “Nonlinear waves and one-dimensional turbulence in nondispersive media26 857–876 (1983)
  10. A.N. Semenov, A.R. Khokhlov “Statistical physics of liquid-crystalline polymers31 988–1014 (1988)
  11. G.M. Zaslavskii, R.Z. Sagdeev et alMinimal chaos, stochastic webs, and structures of quasicrystal symmetry31 887–915 (1988)
  12. B.Ya. Zel’dovich, N.V. Tabiryan “Orientational optical nonlinearity of liquid crystals28 1059–1083 (1985)
  13. L.M. Blinov, L.A. Beresnev “Ferroelectric liquid crystals27 492–514 (1984)
  14. V.P. Romanov, S.V. Ul’yanov “Dynamic properties of smectic films46 915–935 (2003)
  15. G.S. Chilaya, L.N. Lisetskii “Helical twist in cholesteric mesophases24 496–510 (1981)
  16. L.A. Ostrovskii, S.A. Rybak, L.Sh. Tsimring “Negative energy waves in hydrodynamics29 1040–1052 (1986)
  17. V.I. Klyatskin “Integral characteristics: a key to understanding structure formation in stochastic dynamic systems54 441–464 (2011)
  18. I.R. Stakhovsky “Scale invariance of shallow seismicity and the prognostic signs of earthquakes60 472–489 (2017)
  19. V.V. Zosimov, L.M. Lyamshev “Fractals in wave processes38 347–384 (1995)
  20. Yu.A. Stepanyants, A.L. Fabrikant “Propagation of waves in hydrodynamic shear flows32 783–805 (1989)

The list is formed automatically.

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