Linearization of conservative nonlinear oscillators
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http://hdl.handle.net/10045/9185
| Title: | Linearization of conservative nonlinear oscillators |
|---|---|
| Authors: | Beléndez, Augusto | Alvarez, Mariela L. | Fernandez-Varo, Helena | 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 oscillators | Approximate solutions | Chebyshev polynomials |
| Knowledge Area: | Física Aplicada |
| Date Created: | 5-Nov-2008 |
| Issue Date: | Mar-2009 |
| Publisher: | Institute of Physics Publishing |
| Citation: | BELÉNDEZ VÁZQUEZ, Augusto, et al. "Linearization of conservative nonlinear oscillators". European Journal of Physics. Vol. 30, No. 2 (March 2009). ISSN 0143-0807, pp. 259-270 |
| Abstract: | A linearization method of the nonlinear differential equation for conservative nonlinear oscillators is analyzed and discussed. This scheme is based on the Chebyshev series expansion of the restoring force which allows us to obtain a frequency-amplitude relation which is valid not only for small but also for large amplitudes and, sometimes, for the complete range of oscillation amplitudes. Some conservative nonlinear oscillators are analyzed to illustrate the usefulness and effectiveness of the technique. |
| URI: | http://hdl.handle.net/10045/9185 |
| ISSN: | 0143-0807 (Print) | 1361-6404 (Online) |
| DOI: | 10.1088/0143-0807/30/2/004 |
| Language: | eng |
| Type: | info:eu-repo/semantics/article |
| Peer Review: | si |
| Appears in Collections: | INV - GHPO - Artículos de Revistas GITE - FOT - Artículos de Revistas |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
 EJP_v30_n2_p259_2009.pdf | Versión revisada (acceso libre) | 2,55 MB | Adobe PDF | Open Preview |
 EJP_v30_n2_p259_2009def.pdf | Versión final (acceso restringido) | 184,19 kB | Adobe PDF | Open Request a copy |
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