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On the differential equations for tide-well systems

Published online by Cambridge University Press:  17 April 2009

A. Brown
A. Brown
Affiliation:
Australian National University, Canberra, ACT.
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Abstract

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The paper discusses the differential equation

from a fresh point of view, to supplement an earlier discussion by Noye. In particular, for n = 1 the equation can be transformed to the equation for a pendulum with viscous damping, with corresponding to critical damping. At the end of the paper, some related equations are considered.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 5 , Issue 2 , October 1971 , pp. 175 - 185
Copyright
Copyright © Australian Mathematical Society 1971

References

[1]Drummond, J.E., “An existence theorem for differential equations”, Bull. Austral. Math. Soc. 3 (1970), 265–268.Google Scholar
[2]Hale, Jack K., Ordinary differential equations (Wiley-Interscience, New York, London, Sydney, Toronto, 1969).Google Scholar
[3]Noye, B.J., “On a class of differential equations which model tide-well systems”, Bull. Austral. Math. Soc. 3 (1970), 391–411.CrossRefGoogle Scholar
[4]Stoker, J.J., Nonlinear vibrations in mechanical and electrical systems (Interscience, New York, London, 1950).Google Scholar