Parametricky modulovaný oscilátor v asymptotickom prípade

Abstract

This article deals with the asymptotic solution in analytical form of some second-order linear differential equation with time-dependent parameters. Time-periodic modulation of the parameters of the oscillatory system can lead to interesting phenomena. The analytical solution is compared with the numerical solution obtained by the Runge-Kutta method in the MATLAB environment. The convergence conditions of this analytical method are discussed.