"Stable equilibrium" refers to a state in which an object is balanced and doesn't easily tip over or move. It means that even if it is disturbed or pushed slightly, it will return to its original position on its own. Full definition
What is somewhat unsettling here is the lack of apparent negative feedbacks that would lead to a new stable equilibrium state. (realclimate.org)
To compensate for erratic shifts and spikes in its neuronal communications, the brain relies on the stabilizing mechanism called «homeostasis» — the ability to maintain relatively stable equilibrium between different elements of its composition — to preserve overall network function. (sciencedaily.com)
Notice that the lines swirl inwards like a whirlpool to converge at stable equilibrium points, indicating that the laser will stabilize over time. (discovermagazine.com)