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??? Georgy Moiseevich Zaslavsky. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 1, pp. 137-149.

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530.1+929 Заславский

Georgy Moiseevich Zaslavsky

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Reference: 
  1. Chirikov BV. Resonance processes in magnetic traps. Atomic Energy. 1960;6(6):464–470. DOI: 10.1007/BF01483352.
  2. Fermi E. On the origin of cosmic radiation. Phys. Rev. 1949;75:1169–1174. DOI: 10.1103/PHYSREV.75.1169.
  3. Zaslavsky GM, Chirikov BV. Fermi acceleration mechanism in the one-dimensional case. Dokl. Akad. Nauk SSSR. 1964;159(2):306–309.
  4. Fermi E, Pasta J, Ulam S. Study of nonlinear problems. Studies of Nonlinear Problems. I. Los Alamos Report. LA 1940; 1955. 21 p.
  5. Rosenbluth MN, Sagdeev RZ, Taylor JB, Zaslavsky GM. Destruction of magnetic surfaces by magnetic field irregularities. Nucl. Fusion. 1966;6:297–300. DOI: 10.1088/0029-5515/6/4/008.
  6. Filonenko NN, Sagdeev RZ, Zaslavsky GM. Destruction of magnetic surfaces by magnetic field irregularities. Part II. Nucl. Fusion. 1967;7:253–266. DOI: 10.1088/0029-5515/7/4/009.
  7. Zaslavskii GM, Filonenko NN. Stochastic Instability of Trapped Particles and Conditions of Applicability of the Quasi-linear Approximation. JETP. 1968;27(5):851–857.
  8. Chirikov BV. Research on the theory of nonlinear resonance and stochasticity. Preprint 267. Novosibirsk: BINP USSR; 1969. 314 p. (In Russian).
  9. Zaslavsky GM. Statistical irreversibility in non-linear systems. Moscow: Nauka; 1970. 144 p. (In Russian).
  10. Burstein AI. Return of Integral. Scientific Community of Physicists of the USSR. 1950-1960s. Ed. Vizgin VP, Kesenich AV. St. Petersburg.: RHGA; 2005. 569–618 p. (In Russian).
  11. Einstein A. To the quantum condition of Sommerfeld and Epstein. A. Einstein. Sobr. scientific. tr. V. 3. Moscow: Nauka; 1966. 632 p. (In Russian).
  12. Zaslavskii GM, Filonenko NN. Statistical properties of the energy spectrum of "gliding" electrons with mixed classical trajectories. JETP. 1974;38(2):317–323.
  13. Zaslavskii GM. Statistics of energy levels when the integrals of motion are violated. JETP. 1977;46(6):1094–1098.
  14. Berman GP, Zaslavsky GM. Condition of stochasticity in quantum nonlinear systems. I, II. Physica А. 1978;91(3):45–460. DOI: 10.1016/0378-4371(78)90190-5.
  15. Berman GP, Zaslavsky GM. Theory of quantum nonlinear resonance. Phys. Lett. 1977;61(5):295–296. DOI: 10.1016/0375-9601(77)90618-1.
  16. Zaslavsky GM. Stochasticity in quantum systems. Phys. Rep. 1981;80(3):157–250.
  17. Berman GP, Iomin AM, Zaslavsky GM. Method of quasiclassical approximation for c-number projection in coherent states basis. Physica 4D. 1981;4(1):113–121. DOI: 10.1016/0167-2789(81)90008-7.
  18. Berman GP, Zaslavsky GM, Kolovskii AR. Interaction of quantum nonlinear resonances. JETP. 1981;54(2):272–277.
  19. Berman GP, Zaslavsky GM, Kolovsky AR. On the spectrum of the system of interacting quantum nonlinear resonances. Phys. Lett. A. 1982;87(4):152–156. DOI: 10.1016/0375-9601(82)90099-8.
  20. Reichl LE. The trasition to chaos in conservative classical systems: quantum manifestations. New-York: Springer-Verlad; 1992. 551 p.
  21. Belobrov PI, Zaslavskii GM, Tartakovskii GKh. Stochastic breaking of bound states in a system of atoms interacting with a radiation field. JETP. 1976;71(5):945–951.
  22. Abdullaev SS, Zaslavsky GM. Classical nonlinear dynamics and chaos of rays in problems of wave propagation in inhomogeneous media. UFN. 1991;161(8):1–43. DOI: 10.3367/UFNr.0161.199108a.0001.
  23. Smith KB, Brown MG, Tapper FD. Ray chaos in underwater acoustics. J. Acoust. Soc. Am. 1992;91:1939–1949.
  24. Zaslavsky GM, Abdullaev SS. Chaotic transmission of waves and «cooling» of signals. Chaos. 1997;7(1):182–186. DOI: 10.1063/1.166233.
  25. Smirnov IP, Virovlyansky AL, Zaslavsky GM. Theory and applications of ray chaos to underwater acoustics. Phys. Rev. E. 2001;64(3):036221. DOI: 10.1103/PhysRevE.64.036221.
  26. Beron-Vera FJ, Brown MG, Colosi JA, Tomsovic S, Virovlyansky AL, Wolfson MA, Zaslavsky GM. Ray dynamics in a long-range acoustic propagation experiment. J. Acoust. Soc. Am. 2003;114(3):1226–1242. DOI: 10.1121/1.1600724.
  27. Worcester PF, Cornuelle BD, Dzieciuch MA. et al. A test of basinscale acoustic thermometry using a large-aperture vertical array at 3250-km range in the eastern north Pacific Ocean. J. Acoust. Soc. Am. 1999;105:3185–3201.
  28. Makarov D, Prants S, Virovlyansky A, Zaslavsky G. Ray and wave chaos in ocean acoustics. Singapore: World Scientific; 2009 (In press).
  29. Zaslavsky GM. The simplest case of a strange attractor. Phys. Lett. 1978;69(3):145–147. DOI: 10.1016/0375-9601(78)90195-0.
  30. Zaslavsky GM. Stochasticity of dynamic systems. Moscow: Nauka; 1984. 272 p. (In Russian).
  31. Livshitz MA. et al. Plasma heliophysics. Ed. Zeleny LM, Veselovsky IS. Moscow: Fizmatlit; 2008. V. 1. 670 p, V. 2. 559 p. (In Russian).
  32. Zaslavsky GM, Zakharov MYu, Sagdeev RZ, Usikov DA, Chernikov AA. Generation of ordered structures with an axis of symmetry from Hamiltonian dynamics. JETP Letters. 1986;144(7):349.
  33. Zaslavskii GM, Zakharov MYu, Sagdeev RZ, Usikov DA, Chernikov AA. Stochastic web and diffusion of particles in a magnetic field. JETP. 1986;64(2):294–303.
  34. Zaslavsky GM. Fractional kinetic equation for Hamiltonian chaos. Physica D. 1994;76(1-3):110–122. DOI: 10.1016/0167-2789(94)90254-2.
  35. Saichev AI, Zaslavsky GM. Fractional kinetic equations: Solutions and applications. Chaos. 1997;7(4):753–764. DOI: 10.1063/1.166272.
  36. Klappauf BG, Oskay WH, Steck DA, Raizen MG. Experimental study of quantum dynamics in a regime of classical anomalous diffusion. Phys. Rev. Lett. 1999;81:4044–4047. DOI: 10.1103/PHYSREVLETT.81.4044.
  37. Sundaram B, Zaslavsky GM. Anomalous transport and quantum-classical correspondence. Phys. Rev. E. 1999;59(6):7231–7234. DOI: 10.1103/physreve.59.7231.
  38. Iomin A, Zaslavsky GM. Hierarchical structures in the phase space and fractional kinetics: II. Immense delocalization in quantized systems. Chaos. 2000;10(1):147–152. DOI: 10.1063/1.166482.
  39. Zaslavsky GM. Chaotic dynamics and the origin of statistical laws. Physics Today. 1999;52(8):39–45. DOI: 10.1063/1.882777.
  40. Zaslavsky GM. Chaos, fractional kinetics, and anomalous transport. Phys. Rep. 2002;371(6):461–580. DOI: 10.1016/S0370-1573(02)00331-9.
  41. Zaslavsky GM. Hamiltonian Chaos and Fractional Dynamics. Oxford: Oxford University Press; 2005. 421 p.
  42. Mukhin RR. Essays on the history of dynamic chaos (research in the USSR in the 1950-1980s). Moscow: Vest-Consulting; 2007. 390 p. (In Russian).
Received: 
03.03.2009
Accepted: 
03.03.2009
Published: 
30.04.2009
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