Subresonant solutions of the linear oscillator equation
Classical Analysis and ODEs
2021-04-05 v1 Dynamical Systems
Abstract
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.
Keywords
Cite
@article{arxiv.2104.00992,
title = {Subresonant solutions of the linear oscillator equation},
author = {P. Y. Astafyeva and O. M. Kiselev},
journal= {arXiv preprint arXiv:2104.00992},
year = {2021}
}
Comments
8 pages, 3 figure