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The extended Malkus-Robbins dynamo as a perturbed Lorenz system

By Irene M. Moroz

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

Topics: Dynamical systems and ergodic theory
Year: 2004
OAI identifier: oai:generic.eprints.org:56/core69

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