Beléndez, Augusto, Fernandez-Varo, Helena, Rodes Roca, José Joaquín, Fuentes Rosillo, Rosa, Pascual, Inmaculada
Considerations on "Harmonic balancing approach to nonlinear oscillations of a punctual charge in the electric field of charged ring"
BELÉNDEZ VÁZQUEZ, Augusto, et al. "Considerations on "Harmonic balancing approach to nonlinear oscillations of a punctual charge in the electric field of charged ring". Physics Letters A. Vol. 373, Issue 46 (9 Nov. 2009). ISSN 0375-9601, pp. 4264-4265
URI: http://hdl.handle.net/10045/11907
DOI: 10.1016/j.physleta.2009.09.048
ISSN: 0375-9601 (Print)
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 charged ring.
Keywords:Nonlinear oscillator, Equilibrium point, Earnshaw’s theorem
Elsevier
info:eu-repo/semantics/article