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Reviews of topical problems


The regular and chaotic dynamics of structures in fluid flows

,
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

``Order in chaos'' is not an abstraction. It is a characteristic of real disordered processes and can be formulated quantitatively. In application to turbulence the term "order in chaos" means the existence of localized metastable states–structures. In this review experiments demonstrating that the nonlinear dynamics of these structures can be both regular and chaotic are discussed. Models on the basis of which it is possible to construct a theory of spatial-temporal chaos in an ensemble of structures and thereby to discuss turbulence with small and moderate values of the critical parameter (relative Reynolds number) are studied.

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Fulltext is also available at DOI: 10.1070/PU1990v033n01ABEH002403
PACS: 47.52.+j, 47.27.ed, 47.27.Jv, 47.32.−y (all)
DOI: 10.1070/PU1990v033n01ABEH002403
URL: https://ufn.ru/en/articles/1990/1/a/
Citation: Rabinovich M I, Sushchik M M "The regular and chaotic dynamics of structures in fluid flows" Sov. Phys. Usp. 33 (1) 1–35 (1990)
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Îðèãèíàë: Ðàáèíîâè÷ Ì È, Ñóùèê Ì Ì «Ðåãóëÿðíàÿ è õàîòè÷åñêàÿ äèíàìèêà ñòðóêòóð â òå÷åíèÿõ æèäêîñòè» ÓÔÍ 160 (1) 3–64 (1990); DOI: 10.3367/UFNr.0160.199001a.0003

References (245) ↓ Cited by (57) Similar articles (20)

  1. Busse F G Gidrodinamicheskie Neustoichivosti i Perekhod k Turbulentnosti (Pod red. X. Suinni, Dzh. Gollaba) (M.: Mir, 1984) p. 124
  2. Gor’kov L Ya Zh. Eksp. Teor. Fiz. 33 402 (1957)
  3. Malkus V W R, Veronis G J. Fluid Mech. 4 225 (1958)
  4. Schluter A, Lortz D, Busse F H J. Fluid Mech. 23 129 (1965)
  5. Busse F H, Whitehead J A J. Fluid Mech. 47 305 (1971)
  6. Busse F H, Clever R M J. Fluid Mech. 91 319 (1979)
  7. Clever R M, Busse F H J. Appl. Math. Phys. 29 711 (1978)
  8. Eckhaus W Studies In Non-Linear Stability Theory (Springer Tracts in Natural Philosophy) Vol. 6 (Berlin: Springer-Verlag, 1965)
  9. Stuart J T, Di Prima R C Proc. R. Soc. London A 362 27 (1978)
  10. Lowe M, Gollub J P Phys. Rev. 55 2575 (1985)
  11. Rabinovich M I, Trubetskov D I Vvedenie v Teoriyu Kolebanii i Voln (M.: Nauka, 1984)
  12. Busse F H J. Fluid Mech. 52 97 (1972)
  13. Jakeman E Phys. Fluids 11 10 (1968)
  14. Chandrasekhar S, Ranganath G S Adv. Phys. 35 507 (1986)
  15. Cross M C Phys. Rev. A 25 1065 (1982)
  16. Whitehead J A Phys. Fluids 26 2899 (1983)
  17. Rabinovich M I Usp. Fiz. Nauk 125 123 (1978); Rabinovich M I Sov. Phys. Usp. 21 443 (1978)
  18. Eckman J R Rev. Mod. Phys. 53 643 (1984)
  19. Andereck C D, Liu S S, Swinney H L Fluid Mech. 164 155 (1986)
  20. Newhouse S, D Ruell, and F Takens Commun. Math. Phys. 64 35 (1987)
  21. Eckman J-P and D Ruelle Rev. Mod. Phys. 57 617 (1985)
  22. Fenstermaher P R, H L Swinney, and J P Gollub, J Fluid Mech. 94 103 (1979)
  23. Spiegel E A Theoretical Approach To Turbulence (Eds I L Dwoyer, M Y Hussaini, R G Voigt) (New York: Springer-Verlag, 1985) p. 303
  24. Landau L D, Lifshits E M Gidrodinamika (M.: Nauka, 1986)
  25. Orszag S A, Patera A T Transition And Turbulence (Ed. R E Meyer) (New York: Academic Press, 1981) p. 127
  26. Nishioka M, Iida S, Ichikawa Y J. Fluid Mech. 72 731 (1975)
  27. Carlson D R, Widnall S E, Peeters M F J. Fluid Mech. 121 487 (1982)
  28. Stuart J T Transition And Turbulence (Ed. R E Meyer) (New York: Academic Press, 1981)
  29. Breidenthal R J. Fluid Mech. 116 1 (1981)
  30. Neu J C J. Fluid Mech. 143 253 (1984)
  31. Lin S J, Corcos G M J. Fluid Mech. 141 139
  32. Jimenez J, Cogollos M, Bernal P L J. Fluid Mech. 152 125 (1985)
  33. Bernal L P, Roshko A J. Fluid Mech. 170 499 (1986)
  34. Lasheras J C, Cho J S, Maxworthy T J. Fluid Mech. 172 231
  35. Mueller T J, Nelson R C, Kegelman J T AJAA J. 19 1607 (1981)
  36. Kobayashi R, Kohama Y, Kurosawa M J. Fluid Mech. 127 341 (1983)
  37. Kobayashi R, Izumi H J. Fluid Mech. 127 353 (1983)
  38. Kohama P Phys.-Chem. Hydrodynamics 6 659 (1985)
  39. Kohama Y, Kobayahsi R J. Fluid Mech. 137 153 (1983)
  40. Head M R, Bandyopadhyay P J. Fluid Mech. 107 297 (1981)
  41. Wallace J M Flow Of Real Fluids (Eds G E A Meier, F Obermeir) (Berlin: Springer-Verlag, 1985) p. 253
  42. Perry A E, Chang M S J. Fluid Mech. 119 173 (1982)
  43. Blackwelder R F Phys. Fluids 26 2807 (1983)
  44. Perry A E, Lim T T, Teh E W J. Fluid Mech. 104 387 (1981)
  45. Williams D R, Fasel H, Hama F R J. Fluid Mech. 149 179 (1984)
  46. Reutov V P Priklad. Mekh. Tekh. Fiz. (5) 107 (1987)
  47. Corcos G M, Sherman F S J. Fluid Mech. 139 29 (1984)
  48. Corcos G M, Lin S J J. Fluid Mech. 139 67 (1984)
  49. Wygnanski I, Oster D, Fiedler H, Dziomba B J. Fluid Mech. 93 325 (1979)
  50. Breidenthal R Phys. Fluids 23 1929 (1980)
  51. Hussain A K M F, Zaman K B M J. Fluid Mech. 159 85 (1985)
  52. Meshalkin L D, Sinai Ya G PMM 25 1140 (1961)
  53. Obukhov A M Usp. Mat. Nauk 38 101 (1983)
  54. Dovzhenko V A, Dolzhanskii F V Nelineinye Volny. Struktury i Bifurkatsii (Pod red. A V Gaponova-Grekhova, M I Rabinovicha) (M.: Nauka, 1987) p. 132
  55. Moiseev S S, Sagdeev R Z, Tur A V, Khomenko G A, Yanovskii V V Zh. Eksp. Teor. Fiz. 85 1979 (1983)
  56. Gvaramadze V V, Tur A V, Khomenko G A "Vzaimodeistvie statsionarnogo potoka so spiral’noi turbulentnost’yu" Preprint IKI AN SSSR ¹ 121 (M.: IKI AN SSSR, 1987)
  57. Sivashinsky G, Yakhot V Phys. Fluids 28 1040 (1985)
  58. Yakhot V, Sivashinsky G N Phys. Rev. A 35 815 (1987)
  59. Yakhot V, Pelz R Phys. Fluids 30 1272 (1987)
  60. Galloway D, Frisch V J. Fluid Mech. 180 557 (1987)
  61. Frisch V, She Z S, Sulem P L Physica D 28 382 (1987)
  62. Busse F H, Whitehead J A J. Fluid Mech. 66 67 (1974)
  63. Barcilon A, Brindley J, Lessen M, Mobs F R J. Fluid Mech. 94 453 (1979)
  64. Barcilon A, Brindley J Fluid Mech. 143 429 (1984)
  65. Krishnamurti R, Howard L N Proc. Natl. Acad. Sci. USA 78 1981 (1981)
  66. Howard L N, Krishnamurti R J. Fluid Mech. 170 385 (1986)
  67. Landau L D Dokl. Akad. Nauk SSSR 44 339 (1944)
  68. Brand H R, Lomdahl P S, Newell A C Phys. Lett. A 118 67 (1986)
  69. Brand H R, Lomdahl P S, Newell A C Physica D 23 345 (1986)
  70. Normand C, Pomeau Y, Velarde M G Rev. Mod. Phys. 49 591 (1977)
  71. Gromov P R, Zobnin A B, Rabinovich M I, Sushchik M M Pis’ma ZhTF 12 1323 (1986)
  72. Gaponov-Grekhov A V, Rabinovich M Ya Nelineinye Volny. Struktury i Bifurkatsii (Pod red. A V Gaponova-Grekhova, M I Rabinovicha) (M.: Nauka, 1987) p. 7
  73. Nezlin M V, Snezhkin E H, Trubnikov A S Pis’ma ZhETF 36 190 (1982)
  74. Nezlin M V Usp. Fiz. Nauk 150 3 (1986); Nezlin M V Sov. Phys. Usp. 29 807 (1986)
  75. Gaponov-Grekhov A V, Lomov A S, Rabinovich M I Pis’ma ZhETF 44 242 (1986)
  76. Vashkevich O V, Gaponov-Grekhov A V, Ezerskii A B, Rabinovich M Ya Dokl. Akad. Nauk SSSR 293 563 (1987)
  77. Khaken G Sinergetika: Ierarkhiya Neustoichivostei v Samoorganizuyushchikhsya Sistemakh i Ustroistvakh (M.: Mir, 1985)
  78. Gaponov-Grekhov A V, Lomov A S, Osipov G V, Rabinovich M I "Rozhdenie i dinamika dvumernykh struktur v neravnovesnykh dissipativnykh sredakh" Preprint IPF AN SSSR ¹ 199 (Gor’kii: IPF AN SSSR, 1988)
  79. Aranson I S, Gaponov-Grekhov A V, Rabinovich M I Izv. AN SSSR. Ser. Fiz. 51 1133 (1987)
  80. Lomov A S, Rabinovich M I Pis’ma ZhETF 48 598 (1988)
  81. Swift J S, Hohenberg P C Phys. Rev. A 15 319 (1977)
  82. Ciliberto S, Rubio M A Phys. Rev. 58 2652 (1987)
  83. Gorshkov K A, Lomov A S, Rabinovich M I Phys. Lett. A 137 250 (1989)
  84. L’vov V S, Predtechenskii A A Nelineinye Volny: Stokhastichnost’ i Turbulentnost’ (Pod red. M. I. Rabinovicha) (Gor’kii, 1980) p. 57
  85. Thomas A S J. Fluid Mech. 137 233 (1983)
  86. Cimbala J M, Nagib H M, Roshko A J. Fluid Mech. 190 265 (1988)
  87. Aranson I S, Gaponov-Grekhov A V, Rabinovich M I Physica D 33 1 (1988)
  88. Meiburg E, Lasheras J C Phys. Fluids 30 623 (1987)
  89. Meiburg E, Lasheras J C J. Fluid Mech. 190 1 (1988)
  90. Whitehead J A J. Fluid Mech. 75 715 (1976)
  91. Pomeau Y Physica D 23 3 (1986)
  92. Lowe M, Gollub J P, Lubensky T C Phys. Rev. Lett. 51 786 (1983)
  93. Ezerskii A B, Korotin H I, Rabinovich M Ya Pis’ma ZhETF 41 129 (1985)
  94. Zobnin A B, Rabinovich M I, Sushchik M M "Dinamika defektov v dorozhke Karmana" Preprint IPF AN SSSR ¹ 245 (Gor’kii, 1989)
  95. Browand K F, Ho C-M Nucl. Phys. B 2 139 (1987)
  96. Choodnovsky D V, Choodnovsky G V Nuovo Cimento B 40 339 (1977)
  97. Aref H Annu. Rev. Fluid Mech. 15 345 (1983)
  98. Qian S, Lee Y C, Chen H H Phys. Fluids B 1 87 (1989)
  99. Lamb G Gidrodinamika (M.: Gostekhizdat, 1947)
  100. Saffman P G, Baker G R Annu. Rev. Fluid Mech. 11 95 (1979)
  101. Bubnov B M, Golitsyn G S Dokl. Akad. Nauk SSSR 281 552 (1985)
  102. Bubnov B M, Solitsyn G S J. Fluid Mech. 167 503 (1986)
  103. Hopfinger E J, Browand F K, Gagne Y J. Fluid Mech. 125 103 (1982)
  104. Ahlers G, Cannell D S Phys. Rev. Lett. 50 1583 (1983)
  105. Luke M, Mihelcic M, Kowalski B Phys. Rev. A 35 4001 (1987)
  106. Kolmogorov A N, Petrovskii I G, Piskunov N S Byul. MGU. Ser. Matematika Mekhanika 1 1 (1937)
  107. Ben-Jacob E, Dee H G, Kramer L, Langer J S Physica D 14 348 (1985)
  108. Kamenskii V G, Manakov S V Pis’ma ZhETF 45 499 (1987)
  109. Matusov P A, Tsimring L Sh "Rasprostranenie fronta parametricheskikh vozbuzhdaemykh kapillyarnoi ryabi" Preprint IPF AN SSSR (Gor’kii, 1989)
  110. Siggia E D, Zippelius A Phys. Rev. A 24 1036 (1981)
  111. Tesauro G, Cross M C Phys. Rev. A 34 1363 (1986)
  112. Huerre P Nucl. Phys. B Proc. Suppl. 2 159 (1987)
  113. Zippelius A, Sigia E D Phys. Fluids 26 2905 (1983)
  114. Greenside H S, Coughran W M Phys. Rev. A 31 398 (1984)
  115. Croquette V, Pocheau A Lect. Not. Phys. 210 104 (1984)
  116. Cross M C Phys. Rev. A 25 1065 (1982)
  117. Heutmaker M S, Fraenkel P N,P Gollub J P Phys. Rev. Lett. 54 1369 (1985)
  118. Gaponov-Grekhov A V, Lomov A S, Osipov G V, Rabinovich M Nonlinear Waves. Pt. 1 (Eds A Gaponov-Grekhov, M Rabinovich, J Engelbreht) (Berlin: Springer-Verlag, 1989) p. 65
  119. Roberts M, J W Swift, and D H Wagner Contemp. Math. 56 283 (1986)
  120. Henon M C R Acad. Sci. A 262 312 (1966)
  121. Aranson I S, Rabinovich M I, Sushchik M M Chaos And Order In Nature (Ed. H Haken) (Berlin: Springer-Verlag, 1981) p. 54
  122. Kuznetsova L M, Rabinovich M I, Sushchik M M Izv. AN SSSR. Ser. Fizika Atmosfery Okeana 19 53 (1983)
  123. Rabinovich M I, Sushchik M M Nelineinye Volny: Samoorganizatsiya (Pod red. A. V. Gaponova-Grekhova, M. I. Rabinovicha) (M.: Nauka, 1983) p. 58
  124. Aref H J. Fluid Mech. 143 1 (1984)
  125. Chaiken J, Chevray R, Tabor M, Tam Q M Proc. R. Soc London A 408 165 (1986)
  126. Leonard A, V Rom-Kedar, and S Wiggins Nucl. Phys. B 2 179 (1987)
  127. Falcioni M, G Paladin, and A Vulpiani J. Phys. A 2 3451 (1987)
  128. Novikov E A, Sedov Yu B Pis’ma ZhETF 29 737 (1979)
  129. Novikov E A, Sedov Yu B Zh. Eksp. Teor. Fiz. 77 588 (1979)
  130. Ziglin S L Dokl. Akad. Nauk SSSR 250 1296 (1980)
  131. Finn J M, Ott E Phys. Rev. Lett. 60 760 (1988)
  132. Sreenivasan K R, Menelveau C J. Fluid Mech. 173 357 (1986)
  133. Ledrappier F Comm. Math. Phys. 81 229 (1981)
  134. Mane R Dynamical Systems And Turbulence (Lecture Notes in Mathematics) Vol. 898 (Berlin: Springer-Verlag, 1981) p. 230
  135. Takens F Dynamical Systems And Turbulence (Lecture Notes in Mathematics) Vol. 898 (Berlin: Springer-Verlag, 1981) p. 3661
  136. Grassberger P, Procaccia I Phys. Rev. Lett. 50 346 (1983)
  137. Grassberger P Phys. Lett. A 97 227 (1983)
  138. Hentschel H G E, Procaccia I Physica D 8 435 (1983)
  139. Grassberger P Phys. Lett. A 107 103 (1985)
  140. Halsey M, Jensen J, Kadanoff L P, Procaccia I, Shraiman B I Phys. Rev. A 33 1141 (1986)
  141. Afraimovich V S, Reiman A M Nelineinye Volny: Dinamika i Evolyutsiya (Pod red. A. V. Gaponova-Grekhova, M. I. Rabinovicha) (M.: Nauka, 1989)
  142. Grassberger P, Procaccia I Phys. Rev. A 28 2591 (1983)
  143. Gromov P P, Zobnin A B, Rabinovich M I, Reiman A M, Sushchik M M Chislennye Metody Mekhaniki Sploshnoi Sredy (Pod red. G. V. Godiyaka) (Novosibirsk, 1986) p. 30
  144. Brandstäter A, Swift J, Swinney H L, Wolf A, Farmer J D, Jen E, Crutchfield P J Phys. Rev. Lett. 51 1442 (1983)
  145. Malraison B, P Atten, P Berge, and M Dubuis, J J. Phys. Lett. Paris 44 L-897 (1983)
  146. Gromov P R, Zobnin A B, Rabinovich M I, Reiman A M, Sushchik M M Dokl. Akad. Nauk SSSR 292 284 (1987)
  147. Rabinovich M I, Sushchik M M Laminar-Turbulent Transition: IUTAM Symposium, Novosibirsk, 1984 (Ed. V V Kozlov) (Berlin: Springer-Verlag, 1985) p. 375
  148. Sushchik M M Nelineinye Volny. Struktury i Bifurkatsii (Pod red. A V Gaponova-Grekhova, M I Rabinovicha) (M.: Nauka, 1987) p. 104
  149. Bonett M, Meynart R, Boon J P, Olivari D Phys. Rev. Lett. 55 492 (1985)
  150. Kozlov V V, Rabinovich M I, Ramazanov M Π, Reiman A M, Sushchik M M Pis’ma ZhTF 13 986 (1987)
  151. Kozlov V V, Rabinovich M I, Ramazanov M P, Reiman A M, Sushchik M M Phys. Lett. A 128 479 (1988)
  152. Deissler R J, Kaneko K Phys. Lett. A 119 397 (1987)
  153. Kachanov Yu S, Kozlov V V, Levchenko V Ya Vozniknovenie Turbulentnosti v Pogranichnom Sloe (Novosibirsk: Nauka, 1982)
  154. Feigenbaum M J. Stat. Phys. 21 669 (1979)
  155. Feigenbaum M Usp. Fiz. Nauk 141 343 (1983)
  156. Manneville P, Pomeau Y Physica D 1 219 (1980)
  157. Feigenbaum M J, L P Kadanoff, and S J Shenker Physica D 5 370 (1982)
  158. Sinai Ya G, Khanin K M Renormalization Group (Eds D V Shirkov, D I Kazakov, A A Vladimirov) (Singapore: World Scientific, 1988) p. 251
  159. Aranson I S, Rabinovich M I "Renormgruppovoe opisanie prostranstvennogo razvitiya turbulentnosti" Preprint IPF AN SSSR ¹ 152 (Gor’kii, 1987)
  160. Kuznetsov S Π, Pikovskii A S Izv. Vuzov SSSR. Ser. Radiofizika 28 308 (1985)
  161. Kuznetsov S Π Izv. Vuzov SSSR. Ser. Radiofizika 29 887 (1986)
  162. Kuznetsov S Π Izv. Vuzov SSSR. Ser. Radiofizika 28 991 (1985)
  163. Anishchenko V S, Aranson I S, Postnoe D E, Rabinovich M I Dokl. Akad. Nauk SSSR 286 1120 (1986)
  164. Kuznetsov S P Izv. Vuzov SSSR. Ser. Fizika (6) 87 (1984)
  165. Gaponov-Grekhov A V, Rabinovich M Ya, Starobinets I M Pis’ma ZhETF 39 561 (1984)
  166. Aranson I S, Gaponov-Grekhov A V, Rabinovich M I, Starobinets I M Zh. Eksp. Teor. Fiz. 90 1707 (1986)
  167. Taunsend A A Struktura Turbulentnogo Potoka s Poperechnym Sdvigom (M.: IL, 1959)
  168. Townsend A A J. Fluid Mech. 41 13 (1970)
  169. Bevillaqua P M, Lykoudis P S J. Fluid Mech. 89 589 (1978)
  170. Achenbach E J. Fluid Mech. 62 209 (1974)
  171. Tarn C K W J. Fluid Mech. 89 257 (1987)
  172. Tarn C K W J. Fluid Mech. 89 373 (1987)
  173. Ginevskii A S, Vlasov E V, Kolesnikov A V Aeroakusticheskis Vzaimodeistviya (M.: Mashinostroenie, 1978)
  174. Vlasov E V, Ginevskii A S Akust. Zh. 26 1 (1980)
  175. Mansfel’d A D, Rabinovich M I, Sushchik M M Trudy II Vsesoyuznogo simpoziuma po fizike akustogidrodinamicheskikh yavlenii i optoakustike (M.: Nauka, 1982) p. 12
  176. Ginevskii A S, Vlasov E V Modeli Mekhaniki Sploshnykh Sred Pod red. G. V. Godiyaka (Novosibirsk, 1983) p. 91
  177. Hussain A K M F Phys. Fluids 26 2816 (1983)
  178. Hussain A K M F J. Fluid Mech. 173 303 (1986)
  179. Ho C M, Huerre P Annu. Rev. Fluid Mech. 16 365 (1984)
  180. Vlasov E V, Ginevskii A S Itogi Nauki i Tekhniki. Ser. Mekhanika Zhidkokosti i Gaza Vol. 20 (M.: VINITI AN SSSR, 1986) p. 3
  181. Vlasov E V, Ginevskii A S Izv. AN SSSR. Ser. Mekhanika Zhidkosti Gaza (4) 133 (1967)
  182. Vlasov E V, Ginevskii A S Izv. AN SSSR. Ser. Mekhanika Zhidkosti Gaza (6) 37 (1973)
  183. Isataev S I, Tarasov S B Izv. AN SSSR. Ser. Mekhanika Zhidkosti Gaza (2) 164 (1971)
  184. Furletov V I Izv. AN SSSR. Ser. Mekhanika Zhidkosti Gaza (5) 166 (1969)
  185. Ivanov N N Izv. AN SSSR. Ser. Mekhanika Zhidkosti Gaza (4) 182 (1970)
  186. Ivanov N N ZhPMiTF (1) 58 (1972)
  187. Navoznov O I, Pavel’ev A A Izv. AN SSSR. Ser. Mekhanika Zhidkosti Gaza (4) 18 (1980)
  188. Pavel’ev A A, Tsyganok V I Izv. AN SSSR. Ser. Mekhanika Zhidkosti Gaza (6) 36 (1982)
  189. Kudryashov A V, Mansfel’d A D, Rabinovich M I, Sushchik M M Dokl. Akad. Nauk SSSR 277 61 (1984)
  190. Kudryashov A V, Mansfel’d A D, Rabinovich M I, Sushchik M M Ul’trazvukovaya Diagnostika (Gor’kii: IPF AN SSSR, 1983) p. 182
  191. Hussain A K M F, Hasan M A Z J. Fluid Mech. 150 159 (1985)
  192. Hussain A K M F, Zaman K B M Q J. Fluid Mech. 101 493 (1980)
  193. Liepman H W, Nosenchuck D M J. Fluid Mech. 118 201 (1982)
  194. Thomas A S Fluid Mech. 137 233 (1983)
  195. Gromov P R, Zobnich A B, Kiyashko S V, Rabinovich M I, Sushchik M M "Avtokolebaniya v aerodinamicheskoi trube s otkrytoi rabochei chast’yu" Preprint IPF AN SSSR ¹ 135 (Gor’kii, 1986)
  196. Gromov P R, Zobnin A B, Kiyashko S V, Sushchik M M Akust. Zh. 34 349 (1988)
  197. Domaradzki J A, Metcalfe R W Phys. Fluids 30 695 (1987)
  198. Carpenter P W, Garrad A D J. Fluid Mech. 170 199 (1986)
  199. Bak B Rep. Prog. Phys. 45 587 (1982)
  200. Aubry S Physica D 7 240 (1983)
  201. Pal D, Kelly R E Proceedings of the 6th International Heat Transfer Conference, National Res. Council of Canada, Toronto Vol. 2 (1978) p. 235
  202. Kelly R E, Pal D J. Fluid Mech. 86 433 (1978)
  203. Lowe M, Gollub J P Phys. Rev. A 31 3893 (1985)
  204. Lowe M, Albert B S, Gollub J P J. Fluid Mech. 173 253 (1986)
  205. Coulett P Phys. Rev. Lett. 56 724 (1986)
  206. Elphick C J. Phys. A 19 L877 (1986)
  207. Lvov V S, Predtechensky A A, Chernykh A I Nonlinear Dynamics And Turbulence (Eds G I Barenblatt et al) (Boston: Pitman, 1983) p. 238
  208. Belyaev Yu N, Monakhov A A, Shcherbakov S A, Yavorskaya I M Dokl. Akad. Nauk SSSR 279 51 (1984)
  209. Coulett P, Elphick C, Repaux D Phys. Rev. Lett. 58 431 (1987)
  210. Ciliberto S, Rubio M A Phys. Rev. Lett. 58 2652 (1987)
  211. Ciliberto S, Bigazzi P Phys. Rev. Lett. 60 286 (1988)
  212. Pocheau A, Croquette V, le Gal P Phys. Rev. Lett. 55 1094 (1985)
  213. Croquette V, le Gal P, Pocheau A Phys. Scripta 113 135 (1986)
  214. Ezerskii A B, Rabinovich M I, Reutov V Π, Starobinets I M Zh. Eksp. Teor. Fiz. 91 2070 (1986)
  215. Pomeau Y, Manneville P Comm. Math. Phys. 79 189 (1980)
  216. Aranson I S, Gaponov-Grekhov A V, Rabinovich M I Zh. Eksp. Teor. Fiz. 89 92 (1985)
  217. Kolmogorov A Ya Dokl. Akad. Nauk SSSR 30 299 (1941)
  218. Taylor R J Austr. J. Phys. 8 535 (1955)
  219. Gibson M M J. Fluid Mech. 15 161 (1963)
  220. Uberoi M S, Freymyth P Phys. Fluids 12 1359 (1969)
  221. Champagne F H, Harris V G, Corsin S J. Fluid Mech. 41 81 (1970)
  222. Champagne F H J. Fluid Mech. 86 67 (1978)
  223. Bracket M E et al. Phys. Rev. Lett. 57 683 (1986)
  224. Babino A et al. J. Fluid Mech. 183 379 (1987)
  225. Kida S, Sugihare M J. Phys. Soc. Jpn. 50 1785 (1981)
  226. Yamada M, Ohkitani K Phys. Rev. Lett. 60 983 (1988)
  227. Yamada M, Ohkitani K Phys. Lett. A 134 165 (1988)
  228. Obukhov A M Dokl. Akad. Nauk SSSR 32 22 (1941)
  229. Anselmet F, Gagne Y, Hopfinger E J, Antonia A R J. Fluid Mech. 140 63 (1984)
  230. Novikov E A, Styuart R V Izv. AN SSSR. Ser. Fizika Atmosfery Okeana (3) 408 (1964)
  231. Novikov E L Dokl. Akad. Nauk SSSR 184 1072 (1969)
  232. Novikov E L PMM 35 266 (1970)
  233. Kraichman R H J. Fluid Mech. 63 305 (1974)
  234. Frisch U, Parisi G Turbulence And Predictability In Geophysical Fluid Dynamics And Climate Dynamics (Eds M Ghil, R Benzi, G Paris) (Amsterdam: North-Holland, 1984) p. 84
  235. Benzi R, Paladin G, Parisi G, Vulpiani A J. Phys. A 17 3521 (1984)
  236. Paladin G, Vulpiani A Phys. Rep. 156 147 (1987)
  237. Meneveau C, Sreenivasan K R Nucl. Phys. B 2 49 (1987)
  238. Kraichnan R H, Panda R Phys. Fluids 31 2395 (1988)
  239. Tsinober A, Levich E Phys. Lett. A 99 231 (1983)
  240. Levich E Phys. Rep. 151 129 (1987)
  241. Pelz R B, Yakhot V, Orszag S A, Shtilman L, Levich E Phys. Rev. Lett. 54 2505 (1985)
  242. Kit E, Tsinober A, Balint J L, Wallace J M, Levich E Phys. Fluids 30 3323 (1987)
  243. Rogers M M, Moin P Phys. Fluids 30 2662 (1987)
  244. Grappin R, Leorat J Phys. Rev. Lett. 50 1100 (1987)
  245. Grappin R,Leorat J, Pouquet A J. Phys. Paris 47 1127 (1986)
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