Unstable things tend to wobble around until they find a stable configuration, and then remain there (by definition). This goes for pretty much everything.
Introducing some external perturbation can destabilize the thing until it eventually settles into a new stable configuration. But if you've built up lots of systems around the old stable configuration this kind of sucks.
(Also, stable configurations can be hard to reach, and "eventually" might be a rather long time.)