Accurate approximate solution to nonlinear oscillators in which the restoring force is inversely proportional to the dependent variable
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http://hdl.handle.net/10045/9181
| Title: | Accurate approximate solution to nonlinear oscillators in which the restoring force is inversely proportional to the dependent variable |
|---|---|
| Authors: | Beléndez, Augusto | Gimeno, Encarnación | Fernandez-Varo, Helena | Méndez Alcaraz, David Israel | Alvarez, Mariela L. |
| 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 oscillators | Analytical approximate solutions | Rational harmonic balance method |
| Knowledge Area: | Física Aplicada |
| Date Created: | 31-Jan-2008 |
| Issue Date: | Jun-2008 |
| Publisher: | Institute of Physics Publishing |
| Citation: | BELÉNDEZ VÁZQUEZ, Augusto, et al. "Accurate approximate solution to nonlinear oscillators in which the restoring force is inversely proportional to the dependent variable". Physica Scripta. Vol. 77, No. 6 (June 2008). ISSN 0031-8949, pp. 065004 (7pp) |
| Abstract: | A modified generalized, rational harmonic balance method is used to construct approximate frequency-amplitude relations for a conservative nonlinear singular oscillator in which the restoring force is inversely proportional to the dependent variable. The procedure is used to solve the nonlinear differential equation approximately. The approximate frequency obtained using this procedure is more accurate than those obtained using other approximate methods and the discrepancy between the approximate frequency and the exact one is lower than 0.40%. |
| Sponsor: | This work was supported by the “Ministerio de Educación y Ciencia”, Spain, under project FIS2005-05881-C02-02, and by the “Generalitat Valenciana”, Spain, under project ACOMP/2007/020. |
| URI: | http://hdl.handle.net/10045/9181 |
| ISSN: | 0031-8949 (Print) | 1402-4896 (Online) |
| DOI: | 10.1088/0031-8949/77/06/065004 |
| Language: | eng |
| Type: | info:eu-repo/semantics/article |
| Peer Review: | si |
| Appears in Collections: | INV - GHPO - Artículos de Revistas INV - GMECA - Artículos de Revistas INV - GIRS - Artículos de Revistas |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
 PS_v77_n6_art065004_2008.pdf | Versión revisada (acceso libre) | 2,11 MB | Adobe PDF | Open Preview |
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