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Method of averaging in the problem of stability of motion of a body suspended from a string

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Abstract

On the basis of the Bogolyubov-Mitropol’skii method of averaging, we study the problem of stability of the vertical rotation of a body suspended from a string.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev

    V. N. Koshlyakov

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  1. V. N. Koshlyakov
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 4, pp. 467–475, April, 2007.

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Koshlyakov, V.N. Method of averaging in the problem of stability of motion of a body suspended from a string. Ukr Math J 59, 523–532 (2007). https://doi.org/10.1007/s11253-007-0033-0

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  • DOI: https://doi.org/10.1007/s11253-007-0033-0

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