publication . Article . 2009

Considerations on “Harmonic balancing approach to nonlinear oscillations of a punctual charge in the electric field of charged ring”

A. Beléndez; E. Fernández; J.J. Rodes; R. Fuentes; I. Pascual;
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  • Published: 09 Jul 2009
  • Publisher: Elsevier
  • Country: Spain
Abstract
In a previous short communication [Physics Letters A 373 (2009) 735-740] the nonlinear oscillations of a punctual charge in the electric field of a charged ring were analyzed. Approximate frequency-amplitude relations and periodic solutions were obtained using the harmonic balance method. Now we clarify an important aspect about of this oscillation charge. Taking into account Earnshaw’s theorem, this punctual charge cannot be a free charge and so it must be confined, for example, on a finite conducting wire placed along the axis of the ring. Then, the oscillatory system may consist of a punctual charge on a conducting wire placed along the axis of the uniformly ...
Subjects
free text keywords: Nonlinear oscillator, Equilibrium point, Earnshaw’s theorem, Física Aplicada, General Physics and Astronomy, Physics, Harmonic balance, Quantum mechanics, Electric field, Nonlinear Oscillations, Earnshaw's theorem, Nonlinear oscillators
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