Figure 4
From: Magnetic field induced flow pattern reversal in a ferrofluidic Taylor-Couette system

Bifurcation with the strength of magnetic field.
Variation of WVF2,3 (WVF2) and WVF3,2 with axial (left column) and transverse (right column) magnetic field strength. Shown are (a,b) time-averaged, dominant amplitudes of the radial velocity field at mid-gap contributed from the axisymmetric mode
, the
mode
and the
mode
, respectively. (c,d) The corresponding time-averaged frequency 
of the complex mode amplitudes
. Symbols are for eye guidance (the same for subsequent figures), but calculations were typically done for many more parameter values. All presented solutions are stable. The vertical dashed (dotted) lines indicate the critical magnetic field strength in
at which the WVF3,2 (WVF3,2) flow changes its direction of rotation (cf. Fig. 3):
for
,
for
,
for
and
for
. Note that the events
at
and
at
do not reverse the rotational direction of the respective wavy flows (See, Figure 3).