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Some examples of the application of the Beecham-Titchener-Simpson (BTS) method to autonomous systems

Published online by Cambridge University Press:  04 July 2016

P. A. T. Christopher  and
R. Thorne
P. A. T. Christopher
Affiliation:
College of Aeronautics, Cranfield Institute of Technology, Cranfield, Bedford
R. Thorne
Affiliation:
College of Aeronautics, Cranfield Institute of Technology, Cranfield, Bedford
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Summary

It is noted that the averaging technique of Beecham and Titchener, for obtaining approximate solutions to nonlinear, ordinary, differential equations, is not widely known or used. In its extended form, as given by Simpson and Ross it appears to offer a unified and useful approach to the solution of many dynamical and other problems. The present paper sets out to describe and discuss, through the medium of a collection of examples, the Beecham-Titchener-Simpson (BTS) method in an effort to encourage its more widespread use.

Type
Research Article
Information
The Aeronautical Journal , Volume 89 , Issue 890 , December 1985 , pp. 380 - 402
Copyright
Copyright © Royal Aeronautical Society 1985 

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