Waveforms
A recording of the eye movements from someone who has no nystagmus, will essentially
show a straight line.
Eye movements of nystagmus patients show there are different waveforms for different types
of nystagmus. The different forms have inspired the names that have been given to the
various forms; in general they tend to look like sine waves in congenital nystagmus
("pendular nystagmus"), and when they have a with a slow phase, as in latent
nystagmus, followed by a rapid return, they resemble sawtooth waves ("jerk
nystagmus").
Examples of eye movement recordings of someone viewing a stationary object during 2
seconds:
Normal person:

Someone who has congenital nystagmus; 'pendular' movements are seen, of equal speed,
amplitude, and duration in each direction, like sine waves:

Latent nystagmus shows 'saw-tooth'-like waves:

The movements of the two eyes are usually conjugate, so you'll see the movements of the
other eye 'mirrored', as in the next picture:

The frequency is, roughly, usually about 4 Hz.
Note: None of the above are actual recordings, they are drawings to illustrate the
idea.