Linearization of conservative nonlinear oscillators

A linearization method of the nonlinear differential equation for conservative nonlinear oscillators is analysed 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...

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Bibliographic Details
Published in:	European journal of physics 2009-03, Vol.30 (2), p.259-270
Main Authors:	Beléndez, A, Álvarez, M L, Fernández, E, Pascual, I
Format:	Article
Language:	eng
Subjects:	Calculus College Mathematics College Science Communication, education, history, and philosophy Educational Technology Equations (Mathematics) Exact sciences and technology General physics Instrumentation Mathematical Models Physics Physics literature and publications Science Equipment Science Instruction Surveys and tutorial papers, resource letters
Online Access:	Get full text
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Summary:	A linearization method of the nonlinear differential equation for conservative nonlinear oscillators is analysed 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 analysed to illustrate the usefulness and effectiveness of the technique. (Contains 6 figures.)
ISSN:	0143-0807 1361-6404