Article citationsMore>>

J. H. He, “Modified Lindstedt-Poincare Methods for Some Strongly Non-Linear Oscillations. Part II: A New Transformation,” International Journal of Nonlinear Mechanics, Vol. 37, No. 2, 2002, pp. 315-320. doi:10.1016/S0020-7462(00)00117-7

has been cited by the following article:

• TITLE: Oscillations of a Punctual Charge in the Electric Field of a Charged Ring: A Comparative Study

  AUTHORS: Najeeb Alam Khan, Asmat Ara, Nasir Uddin Khan, Nadeem Alam Khan

  KEYWORDS: Oscillator; Stretched Wire; Parameters; Electric Field

  JOURNAL NAME: Journal of Electromagnetic Analysis and Applications, Vol.5 No.5, May 24, 2013

  ABSTRACT: We applied multiple parameters method (MPM) to obtain natural frequency of the nonlinear oscillator with rational restoring force. A frequency analysis is carried out and the relationship between the angular frequency and the initial amplitude is obtained in analytical/numerical form. This equation is analyzed in three cases: the relativistic harmonic oscillator, a mass attached of a stretched elastic wire and oscillations of a punctual charge in the electric field of charged ring. The three and four parameters solutions are obtained. The results obtained are compared with the numerical solution, showing good agreement.