Linearization of conservative nonlinear oscillators

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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.
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

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