Moroz, Irene M. (2003) The Malkus–Robbins dynamo with a linear series motor. International Journal of Bifurcation and Chaos, 13 (1). pp. 147-161.
Official URL: http://www.worldscinet.com/ijbc/13/1301/S021812740...
Hide  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.  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.
|Uncontrolled Keywords:||Dynamos; bifurcations|
|Subjects:||D - G > Dynamical systems and ergodic theory|
O - Z > Ordinary differential equations
|Research Groups:||Oxford Centre for Industrial and Applied Mathematics|
|Deposited By:||Irene Moroz|
|Deposited On:||13 Jun 2007|
|Last Modified:||08 Oct 2012 14:00|
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