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The extended Malkus-Robbins dynamo as a perturbed Lorenz system

Abstract:
Recent investigations of some self-exciting Faraday-disk homopolar dynamo ([1-4]) have yielded the classic Lorenz equations as a special limit when one of the principal bifurcation parameters is zero. In this paper we focus upon one of those models [3] and illustrate what happens to some of the lowest order unstable periodic orbits as this parameter is increased from zero.

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Publication date:
2005-07-04
UUID:
uuid:a9fea236-a7dc-4454-8770-341589839246
Local pid:
oai:eprints.maths.ox.ac.uk:748
Deposit date:
2011-05-19

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