whtmtTibetan Tree Frog: A couple of thoughts come to mind. First and foremost is stance. A functionally open stance that is. The steeper the terrain and the harder the surface, then you need a solid stance under you that will allow you to gain a high edge angle with delicate finesse, not an abrupt harsh movement. The more open your stance, the more hip angulation you can obtain. If you slip you will still have a base of support to work against without falling.
The second thing that comes to mind is that pressure management is very important. As the skis move through the turn you will build strong forces in both skis toward the middle and through the bottom of the turn. If you notice that the outside ski begins to chatter somewhat, then you have held onto the turn too long and with too high an edge angle. What you should do is to begin releasing into the next turn sooner, avoiding the chatter and to go with the flow from the previous turn. Speed will be decreased by skiing further around the corner until speed is dumped and you can release into the new turn with a smooth fluid motion, which should not have been changed from what you're accustomed to on shallower pitched slopes.
Third is that tense muscles equal fear, which equals stiff legs and abrupt movements. This type of skiing spells disaster on frozen steeps. Try to force yourself to keep breathing rhymically and don't stop. Try to make yourself relax your joints, so that you're smooth in edge release and re-engagement, not stiff and harsh. You will find that you can ski longer and with less fatique then if you're stiff and winded. Good luck with it all.
whtmt & Mankenzie 911