Coherent phenomena in stochastic dynamical systems

Physics-Uspekhi

Volumn 42, Issue 2, 1999, Pages 165-198

  Klyatskin, V I ^a,b   Gurarie, D ^c  

^a RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

^b IL ICHEV PACIFIC OCEANOLOGICAL INSTITUTE   (Russian Federation)

^c CASE WESTERN RESERVE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22644450768     PISSN: 10637869     EISSN: None     Source Type: Journal    
DOI: 10.1070/PU1999v042n02ABEH000522     Document Type: Article

References (98)

1. Klyatskin V I Usp. Fiz. Nauk 164 531 (1994)
2. [Phys. Usp. 37 501 (1994)]
3. Klyatskin V I, Saichev A I Zh. Eksp. Teor. Fiz. 111 1297 (1997)
4. [JETP 84 716 (1997)]
5. Klyatskin V I Statisticheskoe Opisanie Dinamicheskikh Sistem s Fluktuiruyushchimi Parametrami (Statistical Description of Dynamical Systems with Fluctuating Parameters) (Moscow: Nauka, 1975)
6. Gurbatov S N, Malakhov A N, Saichev A I Nelineǐnye Sluchaǐnye Volny v Sredakh bez Dispersiǐ (Moscow: Nauka, 1990)
7. [Translated into English Nonlinear Random Waves and Turbulence in Nondispersive Media: Waves, Rays and Particles (Manchester: Manchester University Press, 1991)]
8. Klyatskin V I Stokhasticheskie Uravneniya i Volny v Sluchaǐno- Neodnorodnykh Sredeakh (Stochastic Equations and Waves in Randomly Inhomogeneous Medium) (Moscow: Nauka, 1980);
9. Ondes et Equations Stochastiques Dans les Milieux Aliatoirement non Homogenes (Besancon Cedex, France: Les Editions de Physique, 1985)
10. Kulkarny V A, White B S Phys. Fluids 25 1770 (1982)
11. White B S SIAM J. Appl. Math. 44 127 (1983)
12. Zwillinger D, White B S Wave Motion 7 207 (1985)
13. Klyatskin V I Waves Random Media 3 93 (1993)
14. Klyatskin V I Metod Pogruzheniya v Teorii Rasprostraneniya Voln (The Imbedding Method in Wave Propagation Theory) (Moscow: Nauka, 1986)
15. Scattering and Localization of Classical Waves in Random Media (World Scientific Series on Directions in Condensed Matter Physics, Vol. 8, Ed. P Sheng) (Singapore: World Scientific, 1990)
16. Klyatskin V I, Saichev A I Usp. Fiz. Nauk 162 161 (1992)
17. [Sov. Phys. Usp. 35 231 (1992)]
18. Klyatskin V I, in Progress in Optics Vol. 33 (Ed. E Wolf) (Amsterdam: North-Holland, 1994) p. 1
19. Nicolis G, Prigogine I Exploring Complexity: an Introduction (New York: W.H. Freeman, 1989)
20. Ziman J M Models of Disorder. The Theoretical Physics of Homogeneously Disordered Systems (Cambridge: Cambridge Univ. Press, 1979) [Translated into Russian (Moscow: Mir, 1982)]
21. Kac M Bull. Amer. Math. Soc. 49 314 (1943)
22. Rice S O Bell Syst. Tech. J. 23 282 (1944),
23. Rice S O Bell Syst. Tech. J. 24 46 (1945),
24. in Selected Papers on Noise and Stochastic Processes (Ed. N Wax) (New York: Dover, 1954)
25. Longuet-Higgins M S Proc. Cambridge Philos. Soc. 52 234 (1956),
26. Longuet-Higgins M S Proc. Cambridge Philos. Soc. 53 230 (1957);
27. Philos. Trans. R. Soc. London Ser. A 249 321 (1957),
28. Philos. Trans. R. Soc. London Ser. A 250 157 (1957)
29. Swerling P I.R.E. Tranc. Inf. Theory IT-8 315 (1962)
30. Isichenko M B Rev. Mod. Phys. 64 961 (1992)
31. Klyatskin V I, Woyczynski W A, in Stochastic Models in Geosystems (The IMA Volumes in Mathematics and Its Applications, Vol. 85, Eds S A Molchanov, W A Woyczynski) (New York: Springer, 1997) p. 171
32. Saichev A I, Woyczynski W A, in Stochastic Models in Geosystems (The IMA Volumes in Mathematics and Its Applications, Vol. 85, Eds S A Molchanov, W A Woyczynski) (New York: Springer, 1997) p. 359
33. Klyatskin V I, Woyczynski W A, Gurarie D, in Stochastic Modelling in Physical Oceanography (Progress in Probability, Vol. 39, Eds R J Adler, P Muller, B Rozovskii) (Boston: Birkhauser, 1996) p. 221;
34. J. Stat. Phys. 84 797 (1996)
35. Klyatskin V I, Yakushkin I G Zh. Eksp. Teor. Fiz. 111 2044 (1997)
36. [JETP 84 1114 (1997)]
37. Zirbel C L, Çinlar E, in Stochastic Models in Geosystems (The IMA Volumes in Mathematics and Its Applications, Vol. 85, Eds S A Molchanov, W A Woyczynski) (New York: Springer, 1997) p. 459
38. Mesinger F J. Atmos. Sci. 22 479 (1965)
39. Mesinger F, Mintz Y Tech. Rep. 4, 5 (Los Angeles: Dep. Meteorology, Univ. of California, 1970)
40. Gardiner C W Handbook of Stochastik Methods for Physics, Chemistry and the Natural Sciences (Berlin: Springer-Verlag, 1985) [Translated into Russian (Moscow: Mir, 1986)]
41. Yaroshchuk I O "Chislennoe Modelirovanie Pasprostraniniya Ploskich Voln v Sluchaino Sloistich Lineinich i Nelineinich Sredach" ("Numerical Modeling of the Propagation of Plane Waves in Randomly Layered Linear and Nonlinear Media") Ph.D dissertation (Vladivostok: Pacific Oceanological Institute, 1986)
42. Casti J, Kalaba R Imbedding Methods in Applied Mathematics (Reading, MA: Addison-Wesley Publ. Co., 1973)
43. Bellman R, Wing G M An Introduction to Invariant Imbedding (Philadelphia: SIAM, 1992)
44. Kagiwada H H, Kalaba R Integral Equations Via Imbedding Methods (Reading, MA: Addison Wesley Publ. Co., 1974)
45. Guzev M A, Klyatskin V I, Popov G I Waves Random Media 2 117 (1992)
46. Pedlosky J Geophysical Fluid Dynamics (New York: Springer-Verlag, 1982) [Translated into Russian (Moscow: Mir, 1984)]
47. Klyatskin V I Izv. RAN, Fiz. Atm. i Okeana 32 824 (1996)
48. [Izv., Atmospheric Oceanic Phys. 32 757 (1996)]
49. Klyatskin V I, Gurarie D, in Stochastic Modelling in Physical Oceanography (Progress in Probability, Vol. 39, Eds R J Adler, P Muller, B Rozovskii) (Boston: Birkhauser, 1996) p. 149
50. Gryanik N V, Klyatskin V I Izv. RAN, Fiz. Atm. i Okeana 33 723 (1997)
51. [Izv., Atmospheric Oceanic Phys. 33 (1997)];
52. Graynik N V, Klyatskin V I, Gurarie D Wave Motion 28 333 (1998)
53. Graynik N V, Klyatskin V I Zh. Eksp. Teor. Fiz. 111 2030 (1997)
54. [JETP 84 1106 (1997)]
55. Monin A S, Yaglom A M Statisticheskaya Gidrodinamika Ch. 1, 2 (Moscow: Nauka, 1965, 1967)
56. [Translated into English Statistical Fluid Mechanics; Mechanics of Turbulence Vol. 1, 2 (Cambridge, Mass.: MIT Press, 1971-1975)]
57. Tatarskiǐ V I Rasprostranenie Voln v Turbulentnoǐ Atmosfere (Moscow: Nauka, 1967)
58. [Translated into English The Effects of the Turbulent Atmosphere on Wave Propagation (Springfield, Va.: National Technical Information Service, 1977)]
59. Rytov S M, Kravtsov Yu A, Tatarskiǐ V I Vvedenie v Statisticheskuyu Radiofiziku Ch. 2 (Moscow: Nauka, 1978)
60. [Translated into English Principles of Statistical Radiophysics Vol. 34 (Berlin: Springer-Verlag, 1988-1989)]
61. Guzev M A, Klyatskin V I Waves Random Media 1 275 (1991)
62. Gurvich A S, Kallistratova M A, Martvel' F E Izv. Vyssh. Uchebn. Zaved. Radiofiz. 20 1020 (1977)
63. [Radiophys. Quantum Electron.20 705 (1977)]
64. Flatté S M, Wang G-Y, Martin J J. Opt. Soc. Am. A 10 2363 (1993)
65. Flatté S M, Bracher C, Wang G-Y J. Opt. Soc. Am. A 11 2080 (1994)
66. Whitham G B Linear and Nonlinear Waves (New York: John Wiley & Sons Inc., 1974) [Translated into Russian (Moscow: Mir, 1977)]
67. Landau L D, Lifshits E M Gidrodinamika (Moscow: Nauka, 1986)
68. [Translation into English Fluid Mechanics, 2nd ed. (London: Pergamon Press, 1987)]
69. Hopf E J. Ration. Mech. Anal. 1 87 (1952)
70. Furutsu K J J. Res. N B S D 667 303 (1963)
71. Novikov E A Zh. Eksp. Teor. Phys. 47 1919 (1964)
72. [Sov. Phys. JETP 20 1290 (1965)]
73. Donsker MD Proc. Conference on Theory and Applications of Analysis in Functional Space (Boston MA: M.I.T. Press, 1964) p. 17
74. [Matematika 11 128 (1967)]
75. Klyatskin V I, in Mathematics of Random Media (Lectures in Appl. Math., Vol. 27, Eds W E Kohler, B S White) (Providence, R.I.: AMS, 1991) p. 447
76. Lifshits I M, Gredeskul S A, Pastur L A Vvedenie v Teoriyu Neuporyadochennyk Sistem (Moscow: Nauka, 1982)
77. [Translation into English Introduction to the Theory of Disordered Systems (New York: Wiley, 1988)]
78. Anzygina T N, Pastur L A, Slyusarev V A Fizika Nizkikh temper. 7 5 (1981)
79. [Sov. J. Low Temp. Phys. 7 1 (1981)]
80. Klyatskin V I, Woyczynski W A Zh. Eksp. Teor. Fiz. 108 1403 (1995)
81. [JETP 81 770 (1995)]
82. Pumir A, Shraiman B, Siggia E D Phys. Rev. Lett. 66 2984 (1991)
83. Gollub J P et al. Phys. Rev. Lett. 67 3507 (1991)
84. Holzer M, Pumir A Phys. Rev. E 47 202 (1993)
85. Pumir A Phys. Fluids 6 2118 (1994)
86. Holzer M, Siggia E D Phys. Fluids 6 1820 (1994)
87. Kerstein A R, McMurtry P A Phys. Rev. E 49 474 (1994)
88. Shraiman B I, Siggia E D Phys. Rev. E 49 2912 (1994)
89. Klyatskin V I, Nalbandyan O G Izv. RAN, Fiz. Atm. i Okeana 32 291 (1997)
90. [Izv. Atmospheric Oceanic Phys. 32 (1997)]
91. Bunkin F V, Gochelashvili K S Izv. Vyssh. Uchebn. Radiofiz. 11 1864 (1968)
92. [Radiophys. Quantum Electron. 11 1059 (1968)]
93. Bunkin F V, Gochelashvili K S Izv. Vyssh. Uchebn. Radiofiz. 12 875 (1969)
94. [Radiophys. Quantum Electron. 12 697 (1969)]
95. Gochelashvili K S, Shishov V I Volny v Sluchaǐno-Neodnorodnykh Sredakh (Waves in Randomly Inhomogeneous Media) (Itogi Nauki i Tekhniki. Ser. Radiofizika. Fizicheskie Osnovy Elektroniki. Akustika, Vol. 1, Ed. N D Ustinov) (Moscow: Izd. VINITI AN SSSR, 1981)
96. Dashen R Opt. Lett. 9110 (1984)
97. Churnside J H, Clifford S F J. Opt. Soc. Am. A 4 1923 (1987)
98. Yakushkin I G, Zavorotny V U Waves Random Media 2 165 (1992)