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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.

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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)
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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

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  1. Han X, Wang D et al Physica A: Statistical Mechanics And Its Applications 683 131222 (2026)
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  3. Dutt A K J Math Chem 62 (7) 1682 (2024)
  4. Ma H, Prosperino D, Räth Ch Sci Rep 13 (1) (2023)
  5. Yakushkin I G Izv. Atmos. Ocean. Phys. 58 (1) 7 (2022)
  6. Kostenko P Yu, Slobodyanyuk V V, Kostenko I L Izvestiya Vuzov. Radioelektronika 62 (7) 443 (2019)
  7. Kostenko P Yu, Slobodyanuk V V, Kostenko I L Radioelectron.Commun.Syst. 62 (7) 368 (2019)
  8. Antonevich A B, Buzulutskaya A N Math Notes 102 (5-6) 610 (2017)
  9. Antonevich A B, Buzulutskaya A N Matematicheskie Zametki 102 (5) 657 (2017)
  10. Dutt A K AIP Advances 2 (4) (2012)
  11. Glyzin S D, Kolesov A Yu, Rozov N Kh Comput. Math. And Math. Phys. 50 (5) 816 (2010)
  12. Knyazeva I S, Makarenko N G, Karimova L M Astron. Rep. 54 (8) 747 (2010)
  13. GAO HONGJUN, XIAO QINGKUN Int. J. Bifurcation Chaos 20 (03) 619 (2010)
  14. Dutt A K J Math Chem 48 (4) 841 (2010)
  15. KOCSIS ATTILA, NÉMETH RÓBERT K, KÁROLYI GYÖRGY Int. J. Bifurcation Chaos 20 (12) 4011 (2010)
  16. Knoch T A, Göker M et al Eur Biophys J 38 (6) 757 (2009)
  17. Makarenko N G, Karimova L M, Novak M M Physica A: Statistical Mechanics And Its Applications 380 98 (2007)
  18. Antoniou I, Ivanov V V et al Chaos, Solitons & Fractals 19 (4) 731 (2004)
  19. Eguíluz V M, Hernández-García E, Piro O Nonlinear Phenomena And Complex Systems Vol. Instabilities and Nonequilibrium Structures VII & VIIIBoundary-Forced Spatial Chaos8 Chapter 13 (2004) p. 205
  20. ABDEL-GAWAD H I, ABDUSALAM H A Int. J. Mod. Phys. C 14 (04) 423 (2003)
  21. Sal’nikova E M, Martyushev L M Tech. Phys. Lett. 27 (4) 301 (2001)
  22. Orendovici D R, Pesin Ya B The IMA Volumes In Mathematics And Its Applications Vol. Numerical Methods for Bifurcation Problems and Large-Scale Dynamical SystemsChaos in Traveling Waves of Lattice Systems of Unbounded Media119 Chapter 15 (2000) p. 327
  23. Eguíluz V M, Hernández-García E et al Phys. Rev. E 60 (6) 6571 (1999)
  24. Logvin Yu A, Ackemann T Phys. Rev. E 58 (2) 1654 (1998)
  25. Geyler V A, Margulis V A Phys. Rev. B 55 (4) 2543 (1997)
  26. Reutov V P, Rybushkina G V J Appl Mech Tech Phys 37 (5) 658 (1996)
  27. Savvakin G I, Shevchenko A V et al Powder Metall Met Ceram 34 (3-4) 179 (1996)
  28. Gomez A V, Alstro/m Preben, Toxvaerd So/ren Phys. Rev. B 51 (5) 2822 (1995)
  29. Nekorkin V I, Makarov V A Phys. Rev. Lett. 74 (24) 4819 (1995)
  30. Falcioni M, Marconi U M B et al Phys. Rev. Lett. 75 (4) 637 (1995)
  31. Hilali M F, Métens S et al Phys. Rev. E 51 (3) 2046 (1995)
  32. Borovik A S, Grosberg A Yu, Frank-Kamenetskii M D Journal Of Biomolecular Structure And Dynamics 12 (3) 655 (1994)
  33. Bazhenov M, Rabinovich M Physica D: Nonlinear Phenomena 73 (4) 318 (1994)

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