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Two disc dynamos with viscous friction and time delay

Published online by Cambridge University Press:  24 October 2008

A. E. Cook
A. E. Cook
Affiliation:
Teesside Polytechnic, Middlesbrough
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Abstract

Two extensions of the Rikitake model are examined; the first includes viscous friction and the second includes time delay. By use of Liapounov's direct method the viscous system is shown to have an unstable limit cycle associated with two of the three singular points. By numerical integration true ‘reversals of field’ are shown to occur for both the viscous and time delay cases.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 71 , Issue 1 , January 1972 , pp. 135 - 153
Copyright
Copyright © Cambridge Philosophical Society 1972

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References

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