Two disc dynamos with viscous friction and time delay
- 1 January 1972
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 71 (1) , 135-153
- https://doi.org/10.1017/s0305004100050374
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.Keywords
This publication has 6 references indexed in Scilit:
- The Rikitake two-disc dynamo systemMathematical Proceedings of the Cambridge Philosophical Society, 1970
- Lengths of geomagnetic polarity intervalsJournal of Geophysical Research, 1968
- Nature of surface flow in the Earth's central coreJournal of Geophysical Research, 1967
- On the behaviour of systems of coupled dynamosMathematical Proceedings of the Cambridge Philosophical Society, 1962
- Oscillations of a system of disk dynamosMathematical Proceedings of the Cambridge Philosophical Society, 1958
- The stability of a homopolar dynamoMathematical Proceedings of the Cambridge Philosophical Society, 1955