Determination of the limits of the unstable zones of the unstationary nonlinear mechanical systems
The paper presents a method of determining the unstable zones of mechanical systems circumscribed with the ordinary nonlinear differential equations with periodically variable coefficients, on the assumption that the parametric excitation and nonlinearity in the system are small (of the order of small parameters \(\mu\) and \(\epsilon)\). In this method the solutions are searched in the form of power series in relation to two small independent parameters \(\mu\) and \(\epsilon\).
scientific article; zbMATH DE number 4076717