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Academician Nikolai Nikolaevich Bogolyubov (for the 100th anniversary of his birth)

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This paper is dedicated to the memory of N. N. Bogolyubov in recognition of his towering stature in nonlinear mechanics and theoretical physics, his remarkable many-sided genius, and the originality and depth of his contribution to the world’s science. The paper briefly describes Bogolyubov’s achievements in nonlinear mechanics, classical statistical physics, theory of superconductivity, quantum field theory, and strong interaction theory

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Bogolyubov’s books and monographs in nonlinear mechanics

  1. Research into the Directional Stability of Airplanes, Gosaviaavtotraktorizdat, Moscow–Leningrad (1932), p. 60 (in cooperation with N. M. Krylov).

  2. On Vibrations of Synchronous Machines. 2. On Stability of the Parallel Operation of n Synchronous Machines, Energovydav, Kharkov–Kiev (1932), p. 98 (in cooperation with N. M. Krylov).

  3. Basic Problems of Nonlinear Mechanics, GTTI, Moscow–Leningrad (1932), p. 23 (in cooperation with N. M. Krylov).

  4. New Methods for Solving Some Mathematical Problems in Construction Science, Kiev (1932), p. 96 (in cooperation with N. M. Krylov).

  5. New Methods for Solving Some Mathematical Problems in Engineering, Budvydav, Kharkov–Kiev (1933), p. 96.

  6. New Methods of Nonlinear Mechanics and Their Use to Study the Performance of Electronic Generators, Part 1, Gos. Tekh. Teor. Izd., Moscow–Leningrad (1934), p. 243 (in cooperation with N. M. Krylov).

  7. Application of Methods of Nonlinear Mechanics to the Theory of Stationary Vibrations, Izd. VUAN, Kiev (1934), p. 112 (Institute of Structural Mechanics, All-Ukrainian Academy of Sciences, Mathematical Physics Department, N8; in cooperation with N. M. Krylov).

  8. On Some Formal Expansions in Nonlinear Mechanics, Izd. VUAN, Kiev (1934), p. 89 (Institute of Structural Mechanics, All-Ukrainian Academy of Sciences, Mathematical Physics Department, N5; in cooperation with N. M. Krylov).

  9. Application of Methods of Nonlinear Mechanics to Perturbation Theory for Canonic Systems, Izd. VUAN, Kiev (1934), p. 57 (Institute of Structural Mechanics, All-Ukrainian Academy of Sciences, Mathematical Physics Department, N4; in cooperation with N. M. Krylov).

  10. Introduction to Nonlinear Mechanics, Izd. AN USSR, Kiev (1937), p. 365 (in cooperation with N. M. Krylov).

  11. “General measure theory in nonlinear mechanics,” in: Collected Papers on Nonlinear Mechanics, Vyd. AN URSR, Kiev (1937), pp. 55–112.

  12. N. M. Krylov and N. N. Bogolyubov, Introduction to Non-Linear Mechanics, Princeton Univ. Press, London (1943), p. 105 (in cooperation with N. M. Krylov).

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  13. On Some Statistical Methods in Mathematical Physics, Izd. AN USSR, Kiev (1945), p. 139.

  14. Introduction to Nonlinear Mechanics, Princeton Univ. Press, Repr. Princeton (1947), p. 106 (in cooperation with N. M. Krylov).

  15. Asymptotic Methods in the Theory of Nonlinear Oscillations, Gostekhizdat, Moscow (1955), p. 448 (in cooperation with Yu. A. Mitropolsky).

  16. Asymptotic Methods in the Theory of Nonlinear Oscillations, 2nd ed., Fizmatgiz, Moscow (1958), p. 408 (in cooperation with Yu. A. Mitropolsky).

  17. Method of Integral Manifolds in Nonlinear Mechanics, Kiev (1961), p. 126 (in cooperation with Yu. A. Mitropolsky).

  18. Asymptotic Methods in the Theory of Nonlinear Oscillations, Hindustan, Dehli (1961), p. 428 (in cooperation with Yu. A. Mitropolsky).

  19. Asymptotic Methods in the Theory of Nonlinear Oscillations [in French], VIII, Gauthier-Villars, Paris (1962), p. 518 (in cooperation with Yu. A. Mitropolsky).

  20. I. de Boer and G. R. Uhlenbeck (eds.), “On certain statistical methods in mathematical physics,” in: Studies in Statistical Mechanics, Amsterdam (1962), 3, p. 139.

  21. Asymptotic Methods in the Theory of Nonlinear Oscillations, 3rd ed., Fizmatgiz, Moscow (1963), p. 410 (in cooperation with Yu. A. Mitropolsky).

  22. “Method of integral manifolds in nonlinear mechanics,” in: Proc. Int. Symp. on Nonlinear Oscillations (Kiev, 1961), Vol. 1, Izd. AN USSR, Kiev (1963), pp. 93–154 (in cooperation with Yu. A. Mitropolsky).

  23. “On quasiperiodic solutions in problems of nonlinear mechanics,” in: First Mathematical Summer School, Part 1, Naukova Dumka, Kiev (1964), pp. 11–101.

  24. Asymptotic Methods in the Theory of Nonlinear Oscillations [in German], XII, Academie-Verlag, Berlin (1965), p. 453 (in cooperation with Yu. A. Mitropolsky).

  25. Method of Accelerated Convergence in Nonlinear Mechanics, Naukova Dumka, Kiev (1969), p. 247 (in cooperation with Yu. A. Mitropolsky and A. M. Samoilenko).

  26. Yu. A. Mitropolsky (ed.), Selected Papers, Vol. 1, Naukova Dumka, Kiev (1969), p. 647.

  27. I. N. Sneddon (ed.), Methods of Accelerated Convergence in Nonlinear Mechanics, VIII, Springer-Verlag, Berlin (1976), p. 291 (in cooperation with Yu. A. Mitropolsky and A. M. Samoilenko).

  28. N. N. Bogolyubov (Jr.) and A. M. Kurbatov (eds.), Dynamical Theory,X, Gordon and Breach, New York (1990), p. 386.

  29. N. N. Bogolyubov (Jr.) and A. M. Kurbatov (eds.), Selected Papers, Gordon and Breach, New York (1990–1995).

  30. V. S. Vladimirov (ed.), Nonlinear Mechanics and Pure Mathematics, VIII, Gordon and Breach, New York (1995), p. 551.

  31. Introduction to Nonlinear Mechanics, Approximate and Asymptotic Methods of Nonlinear Mechanics, RKhD, Moscow–Izhevsk (2004), p. 352 (in cooperation with N. M. Krylov).

  32. Yu. A. Mitropolsky and A. D. Sukhanov (eds.), Nonlinear Mechanics, 1932–1940, Nauka, Moscow (2005), p. 828 (in cooperation with N. M. Krylov).

  33. Yu. A. Mitropolsky and A. D. Sukhanov (eds.), Asymptotic Methods in the Theory of Nonlinear Mechanics, Nauka, Moscow (2005), p. 605 (in cooperation with Yu. A. Mitropolsky).

  34. Yu. A. Mitropolsky and A. D. Sukhanov (eds.), Nonlinear Mechanics, 1945–1974, Nauka, Moscow (2006), p. 432.

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterov St., Kyiv, Ukraine, 03057

    A. A. Martynyuk

  2. V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, 42 Vavilova St., Moscow, Russia, 119991

    E. F. Mishchenko

  3. Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkovskaya St., Kyiv, Ukraine, 01601

    A. M. Samoilenko

  4. Joint Institute for Nuclear Research, 6 Joliot-Curie St., Dubna, Moscow Region, Russia, 141980

    A. D. Sukhanov

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  1. A. A. Martynyuk
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  2. E. F. Mishchenko
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  3. A. M. Samoilenko
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  4. A. D. Sukhanov
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Correspondence to A. A. Martynyuk.

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Translated from Prikladnaya Mekhanika, Vol. 45, No. 7, pp. 3–9, July 2009.

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Martynyuk, A.A., Mishchenko, E.F., Samoilenko, A.M. et al. Academician Nikolai Nikolaevich Bogolyubov (for the 100th anniversary of his birth). Int Appl Mech 45, 693–698 (2009). https://doi.org/10.1007/s10778-009-0226-3

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  • DOI: https://doi.org/10.1007/s10778-009-0226-3

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