Application of Perturbation Method to the Solution of Non-periodic Dynamical System

In this study, perturbation method is applied to obtain the solution of dynamical system which does not involve periodic solution. Perturbation method, being a semi analytical method, presents results in series approximation form, thus, the degree of accuracies with retention of different number of terms are studied. Nonlinearities of various forms are considered, with the level of agreements of their solutions presented in tabular form to facilitate ease of comparison. In all the problems selected from the literature, numerical results obtained revealed that retention of one or two terms in the solution suffices for a reasonable level of accuracy for dynamical system.