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Reviews of topical problems


Autosolitons

,  a
a Institute of Electrophysics, Ural Branch of the Russian Academy of Sciences, ul. Amundsena 106, Ekaterinburg, 620016, Russian Federation

A phenomenon of nonlinear physics is studied in this review: the formation of characteristic, time-independent, solitary states--autosolitons (AS)--in different physical, chemical, and biological systems. The physics of As in some types of systems--systems with ``positive'' and ``negative'' thermal diffusion, uniformly generated ``combustion material'', and local self production of matter"is explained for the example of semiconductor and gas plasma, where AS consist of a region of carriers with high temperature and lew (or high) density. The conditions for the formation of As in the form of strongly nonequilibrium regions in systems departing slightly from thermodynamic equilibrium are discussed; examples of systems in which this phenomenon is realized are presented. The systems are classified with respect to the physics and types of AS formed in them. A theory describing AS from a unified viewpoint based on a mathematical analogy is described, and general results are presented, determining the basic parameters and properties of static, pulsating, and traveling AS that form in a wide class of the most diverse systems--chemical and biochemical reactions, nonequilibrium gases and superconductors, photoconductors and magnets, magnetic semiconductors, composite superconductors, active lightguiding transmission lines, and many other systems.

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Fulltext is also available at DOI: 10.1070/PU1989v032n02ABEH002679
PACS: 05.45.Yv, 52.35.Sb (all)
DOI: 10.1070/PU1989v032n02ABEH002679
URL: https://ufn.ru/en/articles/1989/2/a/
Citation: Kerner B S, Osipov V V "Autosolitons" Sov. Phys. Usp. 32 101–138 (1989)
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Оригинал: Кернер Б С, Осипов В В «Автосолитоны» УФН 157 201–266 (1989); DOI: 10.3367/UFNr.0157.198902a.0201

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  24. Ginzburg N S, Kocharovskaya E R et al 25 (9) (2018)
  25. Mykhaylovskyy V V, Sugakov V I Ukr. J. Phys. 63 396 (2018)
  26. Mokrov M S, Raizer Yu P Plasma Sources Sci. Technol. 27 065008 (2018)
  27. Khon Yu A, Zapolsky H et al Phys. Solid State 60 1344 (2018)
  28. Kerner B S Breakdown in Traffic Networks Chapter 3 (2017) p. 87
  29. Ginzburg N S, Kocharovskaya E R et al J. Exp. Theor. Phys. 124 41 (2017)
  30. Kerner B S Physica A: Statistical Mechanics And Its Applications 450 700 (2016)
  31. Mykhaylovsky V, Sugakov V, Goliney I J. Nanophoton 10 033504 (2016)
  32. Sugakov V I Phys. Rev. B 94 (1) (2016)
  33. Block M R, Destaing O et al Phys. Rev. E 92 (4) (2015)
  34. Kerner B S, Koller M et al Physica A: Statistical Mechanics And Its Applications 438 365 (2015)
  35. Dmytruk O I, Sugakov V I Physica B: Condensed Matter 436 80 (2014)
  36. Müller F, Schimansky-Geier L, Postnov D E Ecological Complexity 14 21 (2013)
  37. Yu Ch Geoscience Frontiers 2 551 (2011)
  38. Shitara K, Hiraiwa T, Ohta T Phys. Rev. E 83 (6) (2011)
  39. TZOU J C, BAYLISS A et al Eur. J. Appl. Math 22 423 (2011)
  40. Yukalov V I Symmetry 2 40 (2010)
  41. Byalko A V, Vaganova N I, Rumanov É N Dokl. Phys. 55 168 (2010)
  42. Kagan E Entropy 12 554 (2010)
  43. Raizer Yu P, Mokrov M S J. Phys. D: Appl. Phys. 43 255204 (2010)
  44. Ackemann T, Firth WilliamJ, Oppo Gian‐Luca Advances In Atomic, Molecular, And Optical Physics Vol. Advances in Atomic Molecular and Optical PhysicsChapter 6 Fundamentals and Applications of Spatial Dissipative Solitons in Photonic Devices57 (2009) p. 323
  45. Vaganova N I, Rumanov É N J. Exp. Theor. Phys. 108 349 (2009)
  46. Ohta T, Ohkuma T, Shitara K Phys. Rev. E 80 (5) (2009)
  47. Kamilov I K, Stepurenko A A et al Semiconductors 42 383 (2008)
  48. Dovzhenko A Yu, Rumanov É N J. Exp. Theor. Phys. 104 508 (2007)
  49. Zemskov E P Phys. Rev. E 73 (4) (2006)
  50. Nekhamkina O, Sheintuch M Phys. Rev. E 73 (6) (2006)
  51. Vinoslavskiĭ M N, Belevskii P A, Kravchenko A V J. Exp. Theor. Phys. 102 417 (2006)
  52. Purwins H -G, Bödeker H U, Liehr A W Lecture Notes In Physics Vol. Dissipative SolitonsDissipative Solitons in Reaction-Diffusion Systems661 Chapter 11 (2005) p. 267
  53. Dovzhenko A Yu, Rumanov É N J. Exp. Theor. Phys. 98 359 (2004)
  54. Rumanov E N Dokl. Phys. 48 619 (2003)
  55. Vinoslavskii M N, Kravchenko A V J. Exp. Theor. Phys. 97 162 (2003)
  56. Hildebrand M, Ipsen M et al New J. Phys. 5 61 (2003)
  57. Muratov C B, Osipov V V SIAM J. Appl. Math. 62 1463 (2002)
  58. Zuev L B, Danilov V I, Semukhin B S Usp. Fiz. Met. 3 237 (2002)
  59. Kamilov I K, Stepurenko A A et al J. Phys.: Condens. Matter 14 3657 (2002)
  60. Pismen L M Phys. Rev. Lett. 86 548 (2001)
  61. Vinoslavskii M N, Kravchenko A V Semiconductors 35 377 (2001)
  62. Vinoslavskii M, Kravchenko A, Annin V J. Phys.: Condens. Matter 13 11623 (2001)
  63. Fetter A L, Svidzinsky A A J. Phys.: Condens. Matter 13 R135 (2001)
  64. Ohta T Physica D: Nonlinear Phenomena 151 61 (2001)
  65. Muratov C B, Osipov V V Physica D: Nonlinear Phenomena 155 112 (2001)
  66. Justh E W, Krishnaprasad P S J. Nonlinear Sci. 11 239 (2001)
  67. Kawczyński A L, Legawiec B Phys. Rev. E 64 (5) (2001)
  68. Bode M Advances In Solid State Physics Volume 41 Vol. Advances in Solid State PhysicsPattern Formation in Dissipative Systems: A Particle Approach41 Chapter 30 (2001) p. 369
  69. Kawczyński A L, Legawiec B Phys. Rev. E 63 (2) (2001)
  70. Kamilov I K, Stepurenko A A, Kovalev A S Semiconductors 34 418 (2000)
  71. Kramer L, Gottwald G et al 10 731 (2000)
  72. Osipov V V, Ponizovskaya E V Phys. Rev. E 61 4603 (2000)
  73. Hagberg A, Meron E, Passot T Phys. Rev. E 61 6471 (2000)
  74. Dobrovolsky V N, Ishchuk L V et al 88 6554 (2000)
  75. Muratov C B, Osipov V V J. Phys. A: Math. Gen. 33 8893 (2000)
  76. Zemskov E P, Zykov V S et al Nonlinearity 13 2063 (2000)
  77. Musaev A M Semiconductors 33 1076 (1999)
  78. Hildebrand M, Kuperman M et al Phys. Rev. Lett. 83 1475 (1999)
  79. Muratov C B, Osipov V V Phys. Rev. E 60 242 (1999)
  80. De Wit A Advances In Chemical Physics Vol. Advances in Chemical PhysicsSpatial Patterns and Spatiotemporal Dynamics in Chemical Systems109 1 (1999) p. 435
  81. Merzhanov A G, Rumanov E N Rev. Mod. Phys. 71 1173 (1999)
  82. Schenk C P, Schütz P et al Phys. Rev. E 57 6480 (1998)
  83. Kamilov I K, Stepurenko A A, Kovalev A S J. Phys.: Condens. Matter 10 9477 (1998)
  84. Vol. Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171)A Lyapunov functional for the cubic nonlinearity activator-inhibitor model equationE.JusthP.S.Krishnaprasad2 (1998) p. 1404
  85. Osipov V V, Ponizovskaya E V Physics Letters A 238 369 (1998)
  86. Osipov V V, Severtsev A V Physica A: Statistical Mechanics And Its Applications 249 162 (1998)
  87. Kamilov I K, Stepurenko A A, Kovalev A S Semiconductors 32 625 (1998)
  88. Datsko B I Semiconductors 31 146 (1997)
  89. Kerner B S, Klenov S L, Konhäuser P Phys. Rev. E 56 4200 (1997)
  90. Brazhnik P K, Tyson J J Physica D: Nonlinear Phenomena 102 300 (1997)
  91. Ohta T, Kiyose Ju, Mimura M J. Phys. Soc. Jpn. 66 1551 (1997)
  92. Battogtokh D, Hildebrand M et al Physics Reports 288 435 (1997)
  93. Zuev L B, Danilov V I Phys. Solid State 39 1241 (1997)
  94. Makeev A G, Janssen N M H et al 107 965 (1997)
  95. Muratov C B Phys. Rev. E 55 1463 (1997)
  96. Osipov V V, Severtsev A V Physics Letters A 227 61 (1997)
  97. Hayase Yu J. Phys. Soc. Jpn. 66 2584 (1997)
  98. Ohta T, Kiyose Ju J. Phys. Soc. Jpn. 65 1967 (1996)
  99. Niedernostheide F -J, Schulze H -J et al Phys. Rev. E 54 1253 (1996)
  100. Kamilov I K, Stepurenko A A Physica Status Solidi (b) 194 643 (1996)
  101. Woesler R, Schütz P et al Physica D: Nonlinear Phenomena 91 376 (1996)
  102. Muratov C B Phys. Rev. E 54 3369 (1996)
  103. Muratov C B, Osipov V V Phys. Rev. E 54 4860 (1996)
  104. Muratov C B, Osipov V V Phys. Rev. E 53 3101 (1996)
  105. Ohta T, Hayase Yu, Kobayashi R Phys. Rev. E 54 6074 (1996)
  106. Haim D, Li G et al Phys. Rev. Lett. 77 190 (1996)
  107. Osipov V V, Severtsev A V Physics Letters A 222 400 (1996)
  108. Osipov V V Physica D: Nonlinear Phenomena 93 143 (1996)
  109. Osipov V V, Muratov C B Phys. Rev. Lett. 75 338 (1995)
  110. Kerner B S Springer Proceedings In Physics Vol. Nonlinear Dynamics and Pattern Formation in Semiconductors and DevicesAutosolitons in the Form of Current Filaments and Electric Field Domains in Semiconductors and Devices79 Chapter 4 (1995) p. 70
  111. Schöll E, Wacker A Springer Proceedings In Physics Vol. Nonlinear Dynamics and Pattern Formation in Semiconductors and DevicesOscillatory Transport Instabilities and Complex Spatio-Temporal Dynamics in Semiconductors79 Chapter 2 (1995) p. 21
  112. Suzuki M, Ohta T et al Phys. Rev. E 52 3645 (1995)
  113. Schimansky-Geier L, Hempel H et al Z. Physik B - Condensed Matter 96 417 (1995)
  114. Schütz P, Bode M, Gafiichuk V V Phys. Rev. E 52 4465 (1995)
  115. Bartussek R, Zülicke Ch, Schimansky-Geier L Chaos, Solitons & Fractals 5 1927 (1995)
  116. Chen S, Dawson S P et al Computers & Chemical Engineering 19 617 (1995)
  117. Kuznetsova E M, Osipov V V Phys. Rev. E 51 148 (1995)
  118. Wacker A, Sch�ll E Z. Physik B - Condensed Matter 93 431 (1994)
  119. Osipov V V, Muratov C B Phys. Rev. E 50 3251 (1994)
  120. Hagberg A, Meron E 4 477 (1994)
  121. Niedernostheide F -J, Ardes M et al Phys. Rev. B 49 7370 (1994)
  122. Krischer K, Mikhailov A Phys. Rev. Lett. 73 3165 (1994)
  123. Sarbei O G, Vinoslavskii M N Semicond. Sci. Technol. 9 573 (1994)
  124. Kerner B S, Konhäuser P Phys. Rev. E 50 54 (1994)
  125. Bose S, Wacker A, Schöll E Physics Letters A 195 144 (1994)
  126. Gafiichuk V V, Lubashevskii I A J Math Sci 67 2943 (1993)
  127. Döttling R, Schöll E Physica D: Nonlinear Phenomena 67 418 (1993)
  128. Hüpper G, Pyragas K, Schöll E Phys. Rev. B 47 15515 (1993)
  129. Willebrand H, Or-Guil M et al Physics Letters A 177 220 (1993)
  130. Gómez-Gesteira M, Pérez-Muñuzuri V, Pérez-Villar V Physics Letters A 181 453 (1993)
  131. Melvinsky A B, Tsyganov M A et al Physica D: Nonlinear Phenomena 64 267 (1993)
  132. Dohmen R, Niedernostheide F -J et al Physics Letters A 176 207 (1993)
  133. Kerner B S Experimental and Theoretical Advances in Biological Pattern Formation Chapter 18 (1993) p. 191
  134. Niedernostheide F -J, Dohmen R et al Physica D: Nonlinear Phenomena 69 425 (1993)
  135. Osipov V V Phys. Rev. E 48 88 (1993)
  136. Schimansky-Geier L, Zülicke Ch, Schöll E Physica A: Statistical Mechanics And Its Applications 188 436 (1992)
  137. Semenov Yu G, Stephanovich V A Phys. Rev. B 46 6739 (1992)
  138. Tokar M Z Contrib. Plasma Phys. 32 341 (1992)
  139. Niedernostheide F -J, Kerner B S, Purwins H -G Phys. Rev. B 46 7559 (1992)
  140. Kunz R E, Sch�ll E Z. Physik B - Condensed Matter 89 289 (1992)
  141. SCHÖLL ECKEHARD Basic Properties of Semiconductors (1992) p. 419
  142. Tokar M Z, Nedospasov A V, Yarochkin A V Nucl. Fusion 32 15 (1992)
  143. Mikhailov A Springer Proceedings In Physics Vol. Evolution of Dynamical Structures in Complex SystemsArtificial Life: An Engineering Perspective69 Chapter 16 (1992) p. 301
  144. Abramov V P, Kerner B S, Klenov S L J. Phys. D: Appl. Phys. 25 1461 (1992)
  145. Niedernostheide F ‐J, Arps M et al Physica Status Solidi (b) 172 249 (1992)
  146. Niedernostheide F -J, Dohmen R et al Springer Proceedings In Physics Vol. Nonlinearity with DisorderPattern Formation in Nonlinear Physical Systems with Characteristic Electric Properties67 Chapter 29 (1992) p. 282
  147. Willebrand H, Hünteler T et al Phys. Rev. A 45 8766 (1992)
  148. Dewel G, Borckmans P Solitons and Chaos Research Reports In Physics Chapter 16 (1991) p. 138
  149. Schimansky-Geier L, Z�licke Ch, Sch�ll E Z. Physik B - Condensed Matter 84 433 (1991)
  150. Vinoslavskii M N, Kerner B S et al J. Phys.: Condens. Matter 2 2863 (1990)
  151. Mikhailov A S Springer Series In Synergetics Vol. Foundations of Synergetics IActive Media with Long-Range Inhibition51 Chapter 5 (1990) p. 99
  152. Mikhailov A S Springer Series In Synergetics Vol. Foundations of Synergetics IActive Media with Long-Range Inhibition51 Chapter 5 (1990) p. 99
  153. Willebrand H, Radehaus C et al Physics Letters A 149 131 (1990)
  154. Grigoryan V S Physics Letters A 149 371 (1990)
  155. Rosanov N N, Khodova G V J. Opt. Soc. Am. B 7 1057 (1990)
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