Application of averaging principle in nonlinear oscillatory stochastic systems

  • V. G. Kolomietz
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 294)


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  1. 1.
    Barret J.F., Application of Kolmogorov equations for the investigation of automatic control systems with random disturbances, Proc. 1 Intern. Congress IFAC, Ed. USSR Academy of Sciences, v.III, 84–97, 1961. In Russian.Google Scholar
  2. 2.
    Bogoliubov N.N., Mitropolsky Yu.A., Asymptotic methods in the theory of nonlinear oscillations, "Nauka", 1963. In Russian.Google Scholar
  3. 3.
    Berstein I.L., Lamp generator amplitude and phase fluctuations, Izv. USSR Academy of Sciences, ser. Phys., v. 14, N 2, 145–173, 1950. In Russian.Google Scholar
  4. 4.
    Gihman I.I., Skorohod A.V., Stochastic differential equations, "Naukova Dumka", 1968. In Russian.Google Scholar
  5. 5.
    Mitropolsky Yu.A., Averaging method in nonlinear mechanics, "Naukova Dumka", 1971. In Russian.Google Scholar
  6. 6.
    Mitropolsky Yu.A., Kolomietz V.G., Averagings in stochastic systems, UMZ., v.23, N 3, 318–345, 1971. In Russian.Google Scholar
  7. 7.
    Rytov S.M., Introduction to statical radiophysics, "Nauka", 1966, In Russian.Google Scholar
  8. 8.
    Stratonovicz R.L., Selected problems of fluctuation theory in radioengineering, "Sovetskoe Radio", 1961. In Russian.Google Scholar
  9. 9.
    Tihonov B.I., Statical radioengineering, "Sovetskoe Radio", 1966. In Russian.Google Scholar
  10. 10.
    Hasminsky R.Z., Stability of the systems of differential equations under random disturbances of their parameters, "Nauka", 1969. In Russian.Google Scholar
  11. 11.
    Crandall S.H., Some heuristic procedures for analizing random vibration of nonlinear oscillators, Proc. V International Conference on Nonlinear Oscillations, Kiev, v. 3, 21–36, 1970.Google Scholar

Copyright information

© Springer-Verlag 1972

Authors and Affiliations

  • V. G. Kolomietz
    • 1
  1. 1.Institute of Mathematics of Academy of Sciences of the Ukr.S.S.R.KievU.S.S.R.

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