Approximate analytical solutions for the relativistic oscillator using a linearized harmonic balance method
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Título: | Approximate analytical solutions for the relativistic oscillator using a linearized harmonic balance method |
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Autor/es: | Beléndez, Augusto | Méndez Alcaraz, David Israel | Alvarez, Mariela L. | Pascual, Carolina | Beléndez, Tarsicio |
Grupo/s de investigación o GITE: | Holografía y Procesado Óptico |
Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal |
Palabras clave: | Nonlinear oscillator | Approximate solutions | Harmonic balance method |
Área/s de conocimiento: | Física Aplicada |
Fecha de creación: | 18-may-2007 |
Fecha de publicación: | 10-feb-2009 |
Editor: | World Scientific |
Cita bibliográfica: | BELÉNDEZ VÁZQUEZ, Augusto, et al. "Approximate analytical solutions for the relativistic oscillator using a linearized harmonic balance method". International Journal of Modern Physics B. Vol. 23, No. 4 (2009). ISSN 0217-9792, pp. 521-536 |
Resumen: | 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. |
Patrocinador/es: | 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. |
URI: | http://hdl.handle.net/10045/9952 |
ISSN: | 0217-9792 (Print) | 1793-6578 (Online) |
DOI: | 10.1142/S0217979209049954 |
Idioma: | eng |
Tipo: | info:eu-repo/semantics/article |
Derechos: | Electronic version of an article published as International Journal of Modern Physics B, Vol. 23, No. 4 (2009) 521-536, DOI 10.1142/S0217979209049954 © World Scientific Publishing Company [http://www.worldscinet.com/ijmpb/ijmpb.shtml] |
Revisión científica: | si |
Aparece en las colecciones: | INV - GHPO - Artículos de Revistas INV - GMECA - Artículos de Revistas |
Archivos en este ítem:
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IJMPB_v23_n4_p521_2009.pdf | Versión final (acceso restringido) | 843,25 kB | Adobe PDF | Abrir Solicitar una copia |
IJMPB_v23_n4_p521_2009pre.pdf | Versión revisada (acceso libre) | 2,17 MB | Adobe PDF | Abrir Vista previa |
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