i'm not too sure about the german ones, but hte japanese ones use superconducting magnets on the trains which are attracted to electromagnets (propulsion coils) in the guideway powered by a 3-phase AC system... there are prolli a few websites on this so try google it.
I'm pretty sure they use eddy currents to SLOW the train, but definently not to stop it. As the velocity decerases so does the braking, which makes for very smooth braking, but does not stop the train effectively.
Try to consider how would a maglev train stay in mid air using just the magnetic fields... i can't really see a way to do that since the magnets on the train don't change...
Perhaps they convert to conventional braking at low speeds by sticking something out.
Braking methods other than eddy currents must be used to stop the train
The magnets are 'hooked' under a guide rail so the train will not derail if the magnets fail