Abstract
To describe the dynamics of a single peak of the Rosensweig
instability a model is proposed which approximates the peak
by a half-ellipsoid atop a layer of magnetic fluid.
The resulting nonlinear equation for the height of the peak
leads to the correct subcritical character of the bifurcation
for static induction. For a time-dependent induction the effects of
inertia and damping are incorporated. The results of the model show
qualitative agreement with the experimental findings, as in the
appearance of period doubling, trebling, and higher multiples of
the driving period. Furthermore a quantitative agreement
is also found for the parameter ranges of frequency and induction
in which these phenomena occur.
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