The extended Malkus-Robbins dynamo as a perturbed Lorenz system

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

On the biasing effect of a battery on a self-exciting faraday disk homopolar dynamo loaded with a linear series motor

We extend the study of Hide et al. [1996] for a self-exciting Faraday disk homopolar dynamo with a linear motor connected in series with the coil to cases when a battery is included in the circuit, using the set of nonlinear equations for biased systems given in [Hide, 1997]. The presence of the battery introduces asymmetry into the model, creating two distinct branches of equilibrium solutions, two distinct branches of oscillatory solutions and two different codimension-two bifurcations