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Perturbations of nonlinear autonomous oscillators

Published online by Cambridge University Press:  17 February 2009

P. B. Chapman
Affiliation:
Mathematics Department, University of Western Australia, Nedlands, 6009, Western Australia.
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Abstract

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A general theory is given for autonomous perturbations of non-linear autonomous second order oscillators. It is found using a multiple scales method. A central part of it requires computation of Fourier coefficients for representation of the underlying oscillations, and these coefficients are found as convergent expansions in a suitable parameter.

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Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1994