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The Malkus–Robbins dynamo with a linear series motor

By Irene M. Moroz

Abstract

Hide [1997] has introduced a number of different nonlinear models to describe the behavior of n-coupled self-exciting Faraday disk homopolar dynamos. The hierarchy of dynamos based upon the Hide et al. [1996] study has already received much attention in the literature (see [Moroz, 2001] for a review). In this paper we focus upon the remaining dynamo, namely Case 3 of [Hide, 1997] for the particular limit in which the Malkus–Robbins dynamo [Malkus, 1972; Robbins, 1997] obtains, but now modified by the presence of a linear series motor. We compare and contrast the linear and the nonlinear behaviors of the two types of dynamo

Topics: Dynamical systems and ergodic theory, Ordinary differential equations
Year: 2003
DOI identifier: 10.1142/S0218127403006431
OAI identifier: oai:generic.eprints.org:618/core69

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Citations

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