Analytic Approximation of Non-Periodic Dynamical System by Perturbation Method

Abstract

In this study, perturbation method is applied to obtain the solution of
dynamical system which does not involve periodic solution. Since
perturbation method presents results in series approximation form,
accuracies with retention of different number of terms are studied.
Likewise, different nonlinearities are also considered, with the level
of agreements of their solutions are also presented in tabular form to
facilitate ease of comparison. Numerical results obtained in all cases
revealed that retention of one or two terms in the solution suffices for
a reasonable level of accuracy for system with no periodic solution