Numerical Solution of Parametrically Excited System by Perturbation Method

Abstract

This paper discusses the perturbation method for analysing parametrically excited systems of the higher order from the practical and computational point of view. Furthermore, we propose a multistep perturbation method. This method is powerful when the system has large parameters as perturbed terms. As an example of the perturbation method, we deal with an equation derived from the resonant transfer circuit. In addition, we also treat the Mathieu equation in order to assure the multistep perturbation method.