The movement and stabilization of the coin around the $430USD was expected after the hike in the last month or so. It is nice to see that Bitcoin is making a move further upward, rather than downward.
I think "stabilization" is the wrong word.
It's still too early to call stable. We've witnessed nearly 18 weeks of a general upward trend and a few price battles therein...
Even though we've experienced a lower trade volume in the past about 4 weeks, we could witness explosive price action in either direction.... Since we have seen medium volume over the past week maybe some bearwhales are waiting for the long Christmas weekend to attempt a heavy dump and to attempt to retest $400 on heavy volume? Actually one development of the past couple of years is that weekend dumping has become marginally less effective since many more people in bitcoin seem to have access to quick fiat (by linking their bank accounts through services like Circle and Coinbase), even during the weekends and holidays - although, because of other recreational/personal entertainment reasons, they may be paying less attention to bitcoin price movements on the weekends and holidays.