The phrase is not standard terminology and you will not find it in the literature. What sits underneath it, though, is real and has a proper name: power oscillations, and specifically inter-area oscillations.
A large synchronous grid is a set of rotating machines that must all stay in step at the same frequency. That system has natural modes of oscillation, in the same way a bridge or a guitar string does — groups of generators in one region can swing in phase against groups in another, typically at frequencies below one hertz.
Normally these modes are damped and die away. Under certain conditions — heavily loaded lines, particular generation patterns, low inertia — the damping can become weak or negative, and an oscillation grows instead of decaying. If it grows far enough, protection equipment disconnects lines, which changes the topology, which can cascade.
That is a well-documented failure mode and it has caused major blackouts historically. It is not exotic, and it is nothing to do with the atmosphere vibrating.