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Exact solution of a difference approximation to Duffing's equation

Published online by Cambridge University Press:  17 February 2009

Renfrey B. Potts
Affiliation:
Department of Applied Mathematics, University of Adelaide, Adelaide, South Australia 5001
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Abstract

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Duffing's equation, in its simplest form, can be approximated by various non-linear difference equations. It is shown that a particular choice can be solved in closed form giving periodic solutions.

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Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1981