Aharonov-Bohm and other Cyclic Phenomena

The Aharonov-Bohm effect is associated with cyclic motion. It is one of a number of anholonomic effects, and this means that the dynamical description depends on the current position of the system and on the path by which it reached that position.
An example of an anholonomic effect is Foucaults famous pendulum, which simply demonstrates the Earths rotation. The Sagnac effect - a light beam passing around a rotated system of mirrors - is another example. Modern dynamical developments such as Hannays angle and Berrys phase are further useful examples.