J Austral Math Soc Ser B 32 pp193--206, 1990.

A uniform description of an oscillator's resonant transition

P. B. Chapman

(Received 28 February 1989; revised 11 September 1989)

Abstract

A uniform approximation to the description of a linear oscillator's slow resonant transition is calculated. If the time scale of the transition is e^-1, the approximation contains explicitly the O(1) and O(e^1/2) terms, and fixes a uniform O(e) error bound.

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Author

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

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Last Modified: Mon Jan 14 16:51:05 2002