Abstract
A single peak formed on the free surface of a ferrofluid subject to an
overcritical magnetic field is investigated both theoretically and
experimentally with respect to its static and dynamic properties.
Using a pertubation analysis up to fifth order in the surface
deflection the static profile of the surface in the non-linear regime is
obtained for the one-dimensional situation. If the static magnetic field is
superimposed with an oscillating part an intricate pattern
of subharmonic response of the peak is found experimentally. A simple,
analytically tractable model is introduced which displays qualitative
agreement with the experimental results.
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