arXiv subjects

P. Y. Astafyeva

Publications and source records attributed to P. Y. Astafyeva.

2 recordsLinked to original sources

arXiv2022

Formal asymptotics of parametric subresonance

The system of equations for parametric sub-resonant growth of the amplitude of oscillations was obtained. The time of turning point from the growing of the amplitude to the bounded oscillations in the slow variable was found. The comparison between the asymptotic approximation for the turning time and numerical one is shown.

math.GM↗

arXiv2021

Subresonant solutions of the linear oscillator equation

The behavior of a linear oscillator under the action of an external almost periodic force is investigated. The constructed solutions grow more slowly than the resonant ones. The dependence of the amplitude of growing solutions on the parameters of an almost periodic perturbation is calculated.

math.CA↗