The Mathematical Institute, University of Oxford, Eprints Archive

The extended Malkus-Robbins dynamo as a perturbed Lorenz system

Moroz, Irene M. (2004) The extended Malkus-Robbins dynamo as a perturbed Lorenz system. Nonlinear Dynamics . (Submitted)

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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.

Item Type:Article
Subjects:D - G > Dynamical systems and ergodic theory
Research Groups:Oxford Centre for Industrial and Applied Mathematics
ID Code:56
Deposited By:Irene Moroz
Deposited On:26 Mar 2004
Last Modified:20 Jul 2009 14:18

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