On the Harmonic Oscillations for the Motion of a Dynamical System

Journal Title: JOURNAL OF ADVANCES IN PHYSICS - Year 0, Vol 13, Issue 2

Abstract

This work touches two important cases for the motion of a pendulum called Sub and Ultra-harmonic cases. The small parameter method is used to obtain the approximate analytic periodic solutions of the equation of motion when the pivot point of the pendulum moves in an elliptic path. Moreover, the fourth order Runge-Kutta method is used to investigate the numerical solutions of the considered model. The comparison between both the analytical solution and the numerical ones shows high consistency between them.

Authors and Affiliations

W. S. Amer

Keywords

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  • EP ID EP653336
  • DOI 10.24297/jap.v13i2.5754
  • Views 85
  • Downloads 0

How To Cite

W. S. Amer (0). On the Harmonic Oscillations for the Motion of a Dynamical System. JOURNAL OF ADVANCES IN PHYSICS, 13(2), 4657-4670. https://europub.co.uk/articles/-A-653336