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

Andrzej Okniński and Jan Kyzioł

 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

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.