Differential Equations and Nonlinear Mechanics
Volume 2006 (2006), Article ID 56146, 10 pages
doi:10.1155/DENM/2006/56146
Perturbation analysis of the effective equation for two coupled periodically driven oscillators
Physics Division, Kielce University of Technology, Al. 1000-lecia PP 7, Kielce 25-314, Poland
Received 30 November 2005; Revised 13 May 2006; Accepted 21 May 2006
Copyright © 2006 Andrzej Okniński and Jan Kyzioł. 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
Dynamics of two coupled periodically driven oscillators is
analyzed via approximate effective equation of motion. The
internal motion is separated off exactly and then approximate
equation of motion is derived. Perturbation analysis of the
effective equation is used to study the dynamics of the initial
dynamical system.