Harmonic balancing approach to nonlinear oscillations of a punctual charge in the electric field of charged ring
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http://hdl.handle.net/10045/9125
Title: | Harmonic balancing approach to nonlinear oscillations of a punctual charge in the electric field of charged ring |
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Authors: | Beléndez, Augusto | Fernandez-Varo, Helena | Rodes Roca, José Joaquín | Fuentes Rosillo, Rosa | Pascual, Inmaculada |
Research Group/s: | Holografía y Procesado Óptico |
Center, Department or Service: | Universidad de Alicante. Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal | Universidad de Alicante. Departamento de Óptica, Farmacología y Anatomía |
Keywords: | Nonlinear oscillator | Harmonic balance method | Approximate frequency |
Knowledge Area: | Física Aplicada |
Date Created: | 10-Nov-2008 |
Issue Date: | 31-Dec-2008 |
Publisher: | Elsevier |
Citation: | 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 |
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. |
URI: | http://hdl.handle.net/10045/9125 |
ISSN: | 0375-9601 (Print) | 1873-2429 (Online) |
DOI: | 10.1016/j.physleta.2008.12.042 |
Language: | eng |
Type: | info:eu-repo/semantics/article |
Peer Review: | si |
Publisher version: | http://dx.doi.org/10.1016/j.physleta.2008.12.042 |
Appears in Collections: | INV - GHPO - Artículos de Revistas GITE - FOT - Artículos de Revistas INV - Astronomía y Astrofísica - Artículos de Revistas |
Files in This Item:
File | Description | Size | Format | |
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PLA_v373_n7_p737_2009.pdf | Versión final (acceso restringido) | 153,4 kB | Adobe PDF | Open Request a copy |
PLA_v373_n7_p737_2009pre.pdf | Versión revisada (acceso libre) | 1,65 MB | Adobe PDF | Open Preview |
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