RSS feeds
ÐóññêèéEnglish
Issue 5, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1990

 / 

January

←  →

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.

Fulltext pdf (1.9 MB)
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)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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. (INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON ACTUAL PROBLEMS OF MATHEMATICAL MODELING AND INFORMATION TECHNOLOGY) Vol. INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON ACTUAL PROBLEMS OF MATHEMATICAL MODELING AND INFORMATION TECHNOLOGYStochastic regimes in some autowave and oscillator systems with periodic perturbationsAkhmadjonSoleevIsayRozetYaxyoMukhtarov3147 (2024) p. 020011
  2. Kolesnichenko A V Sol Syst Res (2024)
  3. Kolesnichenko A V Sol Syst Res 57 783 (2023)
  4. Yukalov V I, Yukalova E P Phys. Part. Nuclei 54 1 (2023)
  5. Kolesnichenko A V Sol Syst Res 57 767 (2023)
  6. Delev V A, Nazarov V N et al Jetp Lett. 110 607 (2019)
  7. Glyzin S D Aut. Control Comp. Sci. 52 762 (2018)
  8. Mel’nikova O N, Pokazeev K V Bull. Russ. Acad. Sci. Phys. 82 1439 (2018)
  9. Pisarenko T A, Frolov A, Kraynova G SSP 215 190 (2014)
  10. Ivanitskii G R, Deev A A, Khizhnyak E P Uspekhi Fizicheskikh Nauk 184 43 (2014) [Ivanitskii G R, Deev A A, Khizhnyak E P Phys.-Usp. 57 37 (2014)]
  11. Marov M Ya, Kolesnichenko A V Astrophysics And Space Science Library Vol. Turbulence and Self-OrganizationStochastic-Thermodynamic Modeling of Developed Structured Turbulence389 Chapter 5 (2013) p. 295
  12. Verichev N N Comp. Contin. Mech. 6 23 (2013)
  13. Marov M Ya, Kolesnichenko A V Astrophysics And Space Science Library Vol. Turbulence and Self-OrganizationSelf-Organization of Developed Turbulence and Formation Mechanisms of Coherent Structures389 Chapter 6 (2013) p. 373
  14. Vybornov F I, Rakhlin A V 22 (1) (2013)
  15. Kraynova G S, Frolov A M, Pisarenko T A AMR 718-720 85 (2013)
  16. Zakharov S D BIOPHYSICS 57 814 (2012)
  17. Zaspa Yu P J. Frict. Wear 33 396 (2012)
  18. Zhilenko D Yu, Krivonosova O E Tech. Phys. 55 449 (2010)
  19. Loskutov A Yu Uspekhi Fizicheskikh Nauk 180 1305 (2010)
  20. Alimov V A, Vybornov F I, Rakhlin A V Radiophys Quantum El 52 13 (2009)
  21. Landa P S, Trubetskov D I, Gusev V A Uspekhi Fizicheskikh Nauk 179 255 (2009) [Landa P S, Trubetskov D I, Gusev V A Phys.-Usp. 52 235 (2009)]
  22. Kolesov A Yu, Rozov N Kh Dokl. Math. 80 616 (2009)
  23. Zhilenko D Yu, Krivonosova O É, Nikitin N V Tech. Phys. Lett. 34 1047 (2008)
  24. Alimov V A, Vybornov F I, Rakhlin A V Radiophys Quantum El 51 20 (2008)
  25. Alimov V A, Vybornov F I, Rakhlin A V Radiophys Quantum El 51 (4) (2008)
  26. Alimov V A, Vybornov F I, Rakhlin A V Radiophys Quantum Electron 50 274 (2007)
  27. Pyatnitsky L N Tech. Phys. 52 799 (2007)
  28. Koronovskiĭ A A, Popov P V, Hramov A E J. Exp. Theor. Phys. 103 654 (2006)
  29. Alimov V A, Vybornov F I, Rakhlin A V Radiophys Quantum Electron 49 506 (2006)
  30. Krasilnikov V V, Savotchenko S E Tech. Phys. 51 126 (2006)
  31. Krasilnikov V V, Savotchenko S E, Nemtsev A N Int J Of Quantum Chemistry 104 148 (2005)
  32. Krasil’nikov V V, Savotchenko S E Russ Phys J 48 761 (2005)
  33. Afraimovich V Lecture Notes In Physics Vol. Dynamics of Coupled Map Lattices and of Related Spatially Extended SystemsSome Topological Properties of Lattice Dynamical Systems671 Chapter 7 (2005) p. 153
  34. Krasilnikov V V, Savotchenko S E Int J Of Quantum Chemistry 100 426 (2004)
  35. Abramenko V I Astron. Rep. 46 161 (2002)
  36. Rubchinsky L L, Sushchik M M, Osipov G V Mathematics And Computers In Simulation 58 443 (2002)
  37. Boccaletti S, Kurths J et al Physics Reports 366 1 (2002)
  38. Ginzburg V L The Physics of a Lifetime Chapter 1 (2001) p. 3
  39. Mordvinov A V, Plyusnina L A Astron. Rep. 45 652 (2001)
  40. Chizhik S A, Sidel’nikov A A Glass Phys Chem 26 280 (2000)
  41. RUBCHINSKY LEONID, SUSHCHIK MIKHAIL Int. J. Bifurcation Chaos 09 2329 (1999)
  42. Galiyarova N M, Gorin S V, Dontsova L I Materials Research Innovations 3 30 (1999)
  43. Volobuev A N, Tolstonogov A P J Eng Phys Thermophys 71 607 (1998)
  44. Osipov G V, Pikovsky A S et al Phys. Rev. E 55 2353 (1997)
  45. Yukalov V I Physica A: Statistical Mechanics And Its Applications 234 725 (1997)
  46. Reutov V P, Rybushkina G V J Appl Mech Tech Phys 37 658 (1996)
  47. Abarbanel H D, Rabinovich M I et al Uspekhi Fizicheskikh Nauk 166 363 (1996)
  48. Afraimovich V S, Chow Sh-N Japan J. Indust. Appl. Math. 12 367 (1995)
  49. Gollub J P NATO ASI Series Vol. TurbulenceExperiments on Spatiotemporal Chaos341 Chapter 4 (1995) p. 21
  50. Osipov G V, Sushchik M M Physics Letters A 201 205 (1995)
  51. Cross M C, Hohenberg P C Rev. Mod. Phys. 65 851 (1993)
  52. Reutov V P J Appl Mech Tech Phys 34 205 (1993)
  53. Osipov V V Phys. Rev. E 48 88 (1993)
  54. Kravtsov Y A Rep. Prog. Phys. 55 39 (1992)
  55. Rabinovich M I, Fabrikant A L, Tsimring L Sh Uspekhi Fizicheskikh Nauk 162 1 (1992)
  56. Gluzman S Spontaneous Formation of Space-Time Structures and Criticality Chapter 15 (1991) p. 245
  57. Ryzhov O S USSR Computational Mathematics And Mathematical Physics 30 146 (1990)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions