(University of Žilina, 2024) Minárik, Ján; Ftorek, Branislav; Chupáč, Radoslav
This article deals with a simple nonlinear model of mechanical system. Nonlinear mechanical model described by a nonlinear system of differential equations can lead to interesting phenomena. The linearized analytical solution is compared with the numerical solution obtained by the Runge-Kutta method in the MATLAB environment.
(University of Žilina, 2024) Minárik, Ján; Ftorek, Branislav; Chupáč, Radoslav
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.
