Bouncing ammeter

Boy you need to get this fixed PRONTO especially when dealing with electronics. There are number of things that can cause this

No particular order

VR voltage/ ground loop problems
Problems within the alternator
Problems / loose / bad connections in the wiring harness
In rare cases a bad VR

Bad connections in the charge path to the battery. If you have bypassed the ammeter, that might simplify finding it. suspect the major component path in a stocker. Read the MAD bypass article and pay attention to the diagram posted there:

Catalog

amp-ga18.jpg

The major points to suspect are ANY connection in that path from the alternator to the battery, EVERY terminal and connection

Alternator. Several problems there, including bad brush contact, worn/ sticky brushes, and a stator which has vibrated it's insulation off and is shorting between turns

Grounding VR harness path: Check and improve VR grounding. Check connector at VR and at alternator brushes, make sure they are tight and in good condition.

IF YOU HAVE A TRUNK MOUNT BATTERY suspect that some wiring glitch there is a gotcha, including both hot and ground sides