J Austral Math Soc Ser B 35 pp445--468, 1994.

Perturbations of nonlinear autonomous oscillators

P. B. Chapman

(Received 23 January 1992; revised 5 November 1992)

Abstract

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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Author

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

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