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Complex motion of mechanical systems and the computational process

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Literature Cited

  1. 1.

    V. M. Alekseev, Symbolic Dynamics. Eleventh Mathematical School [in Russian], Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev (1979).

  2. 2.

    V. M. Alekseev, “Quasi-random dynamic systems” Mat. Sb.,79, No. 1, 72–134 (1968).

  3. 3.

    N. I. Akhiezer and I. M. Glazman, Theory of Linear Operators [in Russian], Gostekhizdat, Moscow-Leningrad (1950).

  4. 4.

    R. Bowen, Methods of Symbolic Dynamics [Russian translation], Mir, Moscow (1979).

  5. 5.

    V. F. Zadorozhnyi, “Synthesis of optimal speed of dynamic controllable systems” Mat. Fiz., No. 22, 3–11 (1980).

  6. 6.

    V. I. Zubov, Theory of Vibrations [in Russian], Vysshaya Shkola, Moscow (1979).

  7. 7.

    V. I. Zubov, Stability of Motion [in Russian], Vysshaya Shkola, Moscow (1973).

  8. 8.

    A. A. Martynyuk, Stability of Motion of Complex Systems [in Russian], Naukova Dumka, Kiev (1975).

  9. 9.

    I. G. Petrovskii, Readings in the Theory of Integral Equations [in Russian], Nauka, Moscow (1965).

  10. 10.

    Ya. G. Sinaya (ed.), Strange Attractors [Russian translation], Mir, Moscow (1981).

  11. 11.

    P. Khalmash and V. Sanders, Finite Integral Operators in Space L2 [Russian translation], Nauka, Moscow (1988).

  12. 12.

    C. Cercignani, Mathematical Methods in Kinetic Theory, Plenum Pub., New York (1969).

  13. 13.

    P. Martin-Lof, “Definition of random sequences,” Inf. Control, No. 9, 602–619 (1960).

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Additional information

Institute of Cybernetics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 27, No. 9, pp. 106–114, September, 1991.

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Zadorozhnyi, V.F., Shevchenko, A.V. Complex motion of mechanical systems and the computational process. Soviet Applied Mechanics 27, 916–923 (1991).

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  • Mechanical System
  • Computational Process
  • Complex Motion