Here is one particular (fairly simple) resonance scattering event, computed using the Starlab software package:

A (red-white) circular binary enters from the right, while a (green) third star enters from the left. Eventually, a (white) star escapes, leaving the (red-green) binary more tightly bound than before. Starlab's automatic classification scheme refers to this as a democratic resonance exchange interaction. (``Democratic'' here just means that all stars ``share'' more or less equally in the action.)
Here is a more complicated resonance, again starting with a red-white binary and a green incoming star. This time, the binary components are unchanged at the end, despite the complex intermediate state.

This is a democratic resonance preservation.