I believe the symptom your talking about is normal. Your eyes aren't actually "shaking," they're just trying to "follow" the objects that still appear to be spinning.
If they do this when you HAVEN'T been spinning, definitely see the eye doc. If it only happens when you spin around, then don't spin around any more.
You can prove this to yourself very easily. Spin around again and notice what your eyes do.
Peace
Greenlydia
yea...it doesnt happen if im not spinning...knock on wood...i think your right