Formal Asymptotics of Parametric Subresonance

    Received 15 September 2022; accepted 05 December 2022; published 27 December 2022

    2022, Vol. 18, no. 5, pp.  927-937

    Author(s): Astafyeva P. Y., Kiselev O. M.

    The article is devoted to a comprehensive study of linear equations of the second order with an almost periodic coefficient. Using an asymptotic approach, the system of equations for parametric subresonant growth of the amplitude of oscillations is obtained. Moreover, the time of a turning point from the growth of the amplitude to the bounded oscillations in the slow variable is found. Also, a comparison between the asymptotic approximation for the turning time and the numerical one is shown.
    Keywords: classical analysis and ODEs, subresonant, almost periodic function,small denominator
    Citation: Astafyeva P. Y., Kiselev O. M., Formal Asymptotics of Parametric Subresonance, Rus. J. Nonlin. Dyn., 2022, Vol. 18, no. 5, pp.  927-937

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