The second singularity never confines unless (in which case the mapping is trivial) or is a cubic root of unity (with the resulting mapping being periodic with period six).
The domain represented by the surface of the bearing shaft, on which are projected the feed pockets can by assimilated with a domain of band type, having width L in the direction of (Ox_{3}) and being periodic in the direction of (Ox_{1}), with period (2pi R).
These figures demonstrate that the mass flux changes its direction periodically which may be accredited to the pressure gradient being periodic in nature.
Having pitch is being periodic (see O'Callaghan 2007, ch. 6).
Hamilton's principle is used to derive the equations of vibration, which is a set of partial differential equations with coefficients being periodic in polar variable.
The fluid pressure measured inside of a flexible silicone tube pressed against an ultrasonic probe is observed to move between nearly constant amplitude oscillations to variable shape and amplitude waveforms that deviate significantly from being periodic.
