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

Related Articles

Excitonic quasimolecules containing of two quantum dots

The possibility of occurrence of the excitonic  quasimolecule formed of spatially separated electrons and holes in a nanosystem that consists  of CuO quantum dots synthesized in a silicate glass matrix. It is s...

Density functional theory, Comparative vibrational spectroscopic studies, HOMO-LUMO, and NBO analysis of Trichloro isocyanuric acid and Trithio cyanuric acid

The molecular vibrations of Trichloro isocyanuric acid (C3Cl3N3O3) and Trithio cyanuric acid (C3H3N3S3) have been investigated in polycrystalline sample at room temperature by Fourier Transform Infrared (FT-IR) and FT-Ra...

Reduction of the surface roughness of Ge-on-insulator layers up to sub-nanometer range by chemical mechanical polishing

We are investigating the thermoelectric characteristics of Ge and SiGe nanostructures for realizing high power generator efficiency. In this paper, we investigated the influence of the thinning process on the surface rou...

On the Need for a Certain Physicality from Quantum Theory

Many attempts have been made at the unification of General Relativity (GR) and Quantum Theory (QT), but there is a fundamental error made with these attempts, as we will discuss. What is the point of such theories? Well,...

Detection of Transient 1.42 GHz (Hydrogen Line) Bursts From the Human Brain-Body During Specific Angular Velocities

Basic physical principles should be reflected at the macro- and micro-levels. The 1.42 GHz neutral hydrogen lineis a primary signature of the universe but has also been measured over large bodies of water. Pursuant to ou...

Download PDF file
  • EP ID EP653336
  • DOI 10.24297/jap.v13i2.5754
  • Views 75
  • 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