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We consider a single spike of ferrofluid, arising in a small cylindricalcontainer, when a vertically oriented magnetic field is applied. The height ofthe spike as well as the surface topography is measured experimentally by twodifferent technologies and calculated numerically using the finite elementmethod. As a consequence of the finite size of the container, the numericsuncovers an imperfect bifurcation to a single spike solution, which is forward.This is in contrast to the standard transcritical bifurcation to hexagons,common for rotational symmetric systems with broken up-down symmetry. Thenumerical findings are corroborated in the experiments. The small hysteresisobserved is explained in terms of a hysteretic wetting of the side wall.

The normal field instability under side-wall effects: comparison of experiments and computations