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Linearization of Conservative Nonlinear Oscillators
- Source :
-
European Journal of Physics . Mar 2009 30(2):259-270. - Publication Year :
- 2009
-
Abstract
- 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.)
Details
- Language :
- English
- ISSN :
- 0143-0807
- Volume :
- 30
- Issue :
- 2
- Database :
- ERIC
- Journal :
- European Journal of Physics
- Publication Type :
- Academic Journal
- Accession number :
- EJ831212
- Document Type :
- Journal Articles<br />Reports - Descriptive
- Full Text :
- https://doi.org/10.1088/0143-0807/30/2/004