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Occurrence of stochasticity in the case of nondegenerate wave interaction in media with amplification

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Literature Cited

  1. M. I. Rabinovich and S. M. Fainshtein, Zh. Eksp. Teor. Flz.,57, No. 4 (10), 1298 (1969).

    Google Scholar 

  2. S. Ya. Vyshkind, V. V. Petrov, and S. M. Fainshtein, Zh. Tekh. Fiz.,45, No. 2, 214 (1975).

    Google Scholar 

  3. G. L. Gurevich and Yu. G. Khronopulo, Zh. Eksp. Teor. Fiz.,51, No. 11, 1499 (1966).

    Google Scholar 

  4. A. A. Galeev and R. Z. Sagdeev, in: Problems of Plasma [in Russian], No. 7, Atomizdat, Moscow (1973).

    Google Scholar 

  5. N. Bloembergen, Nonlinear Optics, W. A. Benjamin (1965).

  6. L. A. Ostrovskii and M. I. Rabinovich, “Nonlinear and nonstationary waves,” Fourth All-Union Workshop-Seminar on Wave Diffraction and Propagation [in Russian], Ryazan (1975).

  7. E. N. Lorenz, J. Atmos. Sci.,20, 130 (1963).

    Google Scholar 

  8. D. Ruelle and F. Takens, Commun. Math. Phys.,20, 167 (1971).

    Google Scholar 

  9. D. Ruelle, Report at the Conference on Quantum Dynamics Models and Mathematics, Bickfeld, Sept. (1975).

  10. M. Henon and Heiles, Astron. J.,69, 73 (1964).

    Google Scholar 

  11. G. N. Walker and J. Ford, Phys. Rev.,188, 416 (1969).

    Google Scholar 

  12. J. Ford and G. H. Lunsford, Phys. Rev.,A1, 59 (1970).

    Google Scholar 

  13. G. H. Lunsford and J. Ford, J. Math. Phys.,13, No. 5, 700 (1971).

    Google Scholar 

  14. S. Ya. Vyshkind and M. I. Rabinovich, Zh. Eksp. Teor. Fiz.,71, No. 2 (8), 557 (1976).

    Google Scholar 

  15. S. Ya. Vyshkind, M. I. Rabinovich, and T. M. Tarantovich, Sixth International Symposium on Nonlinear Acoustics, Moscow, 1975: Abstracts of Reports [in Russian], p. 53.

  16. S. Ya. Vyshkind, M. I. Rabinovich, and A. L. Fabrikant, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,20, No. 2, 318 (1977).

    Google Scholar 

  17. V. A. Dubrovin, V. R. Kogan, and M. I. Rabinovich, Fiz. Plazmy (in press).

  18. A. N. Sharkovskii, Ukr. Mat. Zh.,16, No. 1, 61 (1964).

    Google Scholar 

  19. A. N. Sharkovskii, Proceedings of the Fifth International Conference on Nonlinear Oscillations [in Russian], Vol. 2, Kiev (1970), p. 541.

  20. L. P. Shil'nikov, Dokl. Akad. Nauk SSSR, 224, No. 5 (1975).

  21. O. I. Bogoyavlenskii, Dokl. Akad. Nauk SSSR,232, No. 6, 1289 (1977).

    Google Scholar 

  22. E. Hopf, Comm. Pure Appl. Math.,1, 303 (1948).

    Google Scholar 

  23. N. V. Butenin, Yu. I. Neimark, and N. A. Fufaev, Introduction to the Theory of Nonlinear Oscillations [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  24. É. V. Gaushus, Investigation of Dynamic Systems by the Method of Point Transformations [in Russian], Nauka, Moscow (1976).

    Google Scholar 

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Authors
  1. S. Ya. Vyshkind
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Gorki State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 21, No. 6, pp. 850–856, June, 1978.

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Vyshkind, S.Y. Occurrence of stochasticity in the case of nondegenerate wave interaction in media with amplification. Radiophys Quantum Electron 21, 600–604 (1978). https://doi.org/10.1007/BF01052037

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  • DOI: https://doi.org/10.1007/BF01052037

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