Polina Astafyeva
Publications:
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Astafyeva P. Y., Kiselev O. M.
Formal Asymptotics of Parametric Subresonance
2022, Vol. 18, no. 5, pp. 927-937
Abstract
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.
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