Recommended reading material on the subject of parametric rolling can be found here:
Parametric rolling is mentioned only since the fifties. More or less the same happened with the dangers of quartering seas. It is remarkable that it took such a long time before these important and sometimes crucial phenomena were taught in nautical schools
Hoppe Marine sells her MOCON, monitoring and control system, based on the U-Tank Anti-rolling system which makes use of the ship’s double bottom and was developed by Frahm already in 1910.
Hoppe stabilization system.
Furthermore there is the Arrow software tool for avoiding synchronous or parametric resonance.
The word resonance is the right expression to describe parametric rolling because that is what it is, just simple physics. In physics, resonance is a phenomenon in which a vibrating system or external force - the waves - drives another system - the ship - to oscillate with greater amplitude at specific frequencies. The waves are so to speak in total tune with the ship.
The most prominent feature of the frequency response of a resonant circuit is a sharp resonant peak in its amplitude characteristics which can, under certain circumstances, can take on catastrophic proportions as can be witnessed in the video below.
As was proven already long ago resonance can even bring a bridge down.