Beléndez, Augusto, Fernandez-Varo, Helena, Rodes Roca, José Joaquín, Fuentes Rosillo, Rosa, Pascual, Inmaculada
Harmonic balancing approach to nonlinear oscillations of a punctual charge in the electric field of charged ring
BELÉNDEZ VÁZQUEZ, Augusto, et al. "Harmonic balancing approach to nonlinear oscillations of a punctual charge in the electric field of charged ring". Physics Letters A. Vol. 373, Issue 7 (16 Febr. 2009). ISSN 0375-9601, pp. 735-740
URI: http://hdl.handle.net/10045/9125
DOI: 10.1016/j.physleta.2008.12.042
ISSN: 0375-9601 (Print)
Abstract: 
The harmonic balance method is used to construct approximate frequency-amplitude relations and periodic solutions to an oscillating charge in the electric field of a ring. By combining linearization of the governing equation with the harmonic balance method, we construct analytical approximations to the oscillation frequencies and periodic solutions for the oscillator. To solve the nonlinear differential equation, firstly we make a change of variable and secondly the differential equation is rewritten in a form that does not contain the square-root expression. The approximate frequencies obtained are valid for the complete range of oscillation amplitudes and excellent agreement of the approximate frequencies and periodic solutions with the exact ones are demonstrated and discussed.
Keywords:Nonlinear oscillator, Harmonic balance method, Approximate frequency
Elsevier
info:eu-repo/semantics/article