| Título: | Approximate analytical solutions for the relativistic oscillator using a linearized harmonic balance method |
| Autores: |
Beléndez Vázquez, Augusto Méndez Alcaraz, David Israel Álvarez López, Mariela Lázara Pascual Villalobos, Carolina Beléndez Vázquez, Tarsicio |
| Fecha: |
2009-03-11 2009-03-11 2007-05-18 2009-02-10 |
| Publicador: | RUA Docencia |
| Fuente: |
 |
| Tipo: | info:eu-repo/semantics/article |
| Tema: |
Nonlinear oscillator Approximate solutions Harmonic balance method Física Aplicada |
| Descripción: |
The analytical approximate technique developed by Wu et al. for conservative oscillators with odd nonlinearity is used to construct approximate frequency-amplitude relations and periodic solutions to the relativistic oscillator. By combining Newton's method with the method of harmonic balance, analytical approximations to the oscillation period and periodic solutions are constructed for this oscillator. The approximate periods obtained are valid for the complete range of oscillation amplitudes, A, and the discrepancy between the second approximate period and the exact one never exceeds 1.2%, and it tends to 1.1% when A tends to infinity. Excellent agreement of the approximate periods and periodic solutions with the exact ones are demonstrated and discussed. This work was supported by the Ministerio de Educación y Ciencia, Spain, under project FIS2005-05881-C02-0 and by the Generalitat Valenciana, Spain, under project GVPRE/2008/182. |
| Idioma: | Inglés |
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