Universality of oscillation theory laws. Types and role of mathematical models (Q1303492)

Summary: The universality of oscillation theory laws is discussed. It is suggested that all models of concrete systems be separated into four categories: models -- ``portraits'' of investigated systems, models of the type of ``black box'', aggregating models, and models of certain phenomena which can occur in real systems. As an example of the model of the fourth type, the equation of oscillations of a pendulum with a randomly vibrating suspension axis is considered for the purpose of clarifying the mechanism of the transition to turbulence.