If it's happening with an offset it could be a inv spiral in reset. Otherwise there was a clipper circuit that was added around Crystal Odyssey that the cycloids ran through. I never liked it, but I was pre-feedback scanners...
Just FYI, I believe that Brian is correct about the clipper being added for Crystal Odyssey (and equally correct that it was a fairly useless addition...). Here it is in Crystal Odyssey clipping a simple 2-oscillator cycloid into UFOs:
Thanks Ron. The image explains a lot. It make me want to check and see exactly what the clipper circuit is doing on the KQO circuit. At the outout end of that circuit there is an opamp with 2 diodes for each scan axis.