Issues

 / 

2004

 / 

September

  

Reviews of topical problems


Waves and patterns in reaction-diffusion systems. Belousov-Zhabotinsky reaction in water-in-oil microemulsions


Photochemistry Center, Russian Academy of Sciences, Novatorov str. 7a, Moscow, 117421, Russian Federation

Advances in nonequilibrium pattern formation in reaction-diffusion systems are reviewed. Special emphasis is placed on patterns found in the spatially extended Belousov-Zhabotinsky reaction dispersed in aerosol OT water-in-oil microemulsions (BZ-AOT system): Turing patterns, packet and standing waves, antispirals and segmented spirals, and accelerating waves and oscillons. All experimental results are explained theoretically and reproduced in computer simulations.

Fulltext pdf (1.4 MB)
Fulltext is also available at DOI: 10.1070/PU2004v047n09ABEH001742
PACS: 05.45.−a, 05.65.+b, 82.40.Bj, 82.40.Ck (all)
DOI: 10.1070/PU2004v047n09ABEH001742
URL: https://ufn.ru/en/articles/2004/9/d/
000226203600004
2004PhyU...47..923V
Citation: Vanag V K "Waves and patterns in reaction-diffusion systems. Belousov-Zhabotinsky reaction in water-in-oil microemulsions" Phys. Usp. 47 923–941 (2004)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Ванаг В К «Волны и динамические структуры в реакционно-диффузионных системах. Реакция Белоусова-Жаботинского в обращенной микроэмульсии» УФН 174 991–1010 (2004); DOI: 10.3367/UFNr.0174.200409d.0991

References (165) Cited by (86) Similar articles (20) ↓

  1. A.B. Medvinskii, S.V. Petrovskii et alSpatio-temporal pattern formation, fractals, and chaos in conceptual ecological models as applied to coupled plankton-fish dynamics45 27–57 (2002)
  2. M.A. Tsyganov, V.N. Biktashev et alWaves in systems with cross-diffusion as a new class of nonlinear waves50 263–286 (2007)
  3. O.V. Maslennikov, V.I. Nekorkin “Adaptive dynamical networks60 694–704 (2017)
  4. G.I. Strelkova, V.S. Anishchenko “Spatio-temporal structures in ensembles of coupled chaotic systems63 145–161 (2020)
  5. M.I. Rabinovich, M.K. Muezzinoglu “Nonlinear dynamics of the brain: emotion and cognition53 357–372 (2010)
  6. V.V. Klinshov, V.I. Nekorkin “Synchronization of delay-coupled oscillator networks56 1217–1229 (2013)
  7. L.M. Zelenyi, A.V. Milovanov “Fractal topology and strange kinetics: from percolation theory to problems in cosmic electrodynamics47 749–788 (2004)
  8. G.R. Ivanitskii, A.B. Medvinskii, M.A. Tsyganov “From the dynamics of population autowaves generated by living cells to neuroinformatics37 961–989 (1994)
  9. 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)
  10. V.P. Budaev, S.P. Savin, L.M. Zelenyi “Investigation of intermittency and generalized self-similarity of turbulent boundary layers in laboratory and magnetospheric plasmas: towards a quantitative definition of plasma transport features54 875–918 (2011)
  11. A.E. Hramov, N.S. Frolov et alFunctional networks of the brain: from connectivity restoration to dynamic integration64 584–616 (2021)
  12. V.S. Anishchenko, A.B. Neiman et alStochastic resonance: noise-enhanced order42 7–36 (1999)
  13. F.I. Ataullakhanov, V.I. Zarnitsyna et alA new class of stopping self-sustained waves: a factor determining the spatial dynamics of blood coagulation45 619–636 (2002)
  14. B.N. Belintsev “Dissipative structures and the problem of biological pattern formation26 775–800 (1983)
  15. K.V. Koshel, S.V. Prants “Chaotic advection in the ocean49 1151–1178 (2006)
  16. V.K. Vanag “Study of spatially extended dynamical systems using probabilistic cellular automata42 413–434 (1999)
  17. S.L. Sobolev “Transport processes and traveling waves in systems with local nonequilibrium34 (3) 217–229 (1991)
  18. A.P. Gerasev “Nonequilibrium thermodynamics of autowave processes in a catalyst bed47 991–1016 (2004)
  19. B.S. Kerner, V.V. Osipov “Autosolitons32 101–138 (1989)
  20. A. Loskutov “Fascination of chaos53 1257–1280 (2010)

The list is formed automatically.

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