Discrete Dynamics in Nature and Society
Volume 1 (1997), Issue 2, Pages 99-110
doi:10.1155/S1026022697000113
Universality of oscillation theory laws. types and role of mathematical models
Department of Physics, Moscow State University, Moscow 119899, Russia
Received 6 December 1996
Copyright © 1997 Polina S. Landa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
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.