ANALYTIC APPROXIMATION OF NON-PERIODIC DYNAMICAL SYSTEM BY PERTURBATION METHOD

Yisa, B. M.

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. Read full PDF

Keywords: Nonperiodic Solution, Dynamical System, Perturbation Term, Asymptotic Expansion, Nonlinear Terms, Bending Moment

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