here's my shot at a techical explanation. keep in mind I'm not a physicist so I may be incorrectly wording a thing or two. please correct where needed
think of the two wheels as gyroscopes. whenever two gyroscopes are inline they are fine, they tend to want to maintain a position at right angle to the ground. the more rotating mass the greater the gyroscopic effect (but that's not important right now). But, when they become mis-aligned from landing a crossed up wheelie, frame stress in a corner, improper chain adjustment, whatever. They windup fighting each other for that vertical position. This usually results in the frame moving in both a side to side as well as an un and down 'S' motion (picture a fish moving it's body up and dow in addition to the normal manner and you get the idea. eventually if the mis-alignment is not corrected, the tires of the bike will eventually start to hop from one side of center to the other getting progressively worse and finishing off with a bloody twisted mess.
The best advise I could give anyone is if you start a wobble and it wasn't from something stupid you just did. Get off the throttle. Stop the bike and find out what caused it. This notion of powering through it will eventually result in an ugly get-off. The only way I could really see applying more throttle is if you have enough torque to lift the front suspension to full extension thus enabling the wheel to return to a neutral position. If, however, there is something wrong with the setup you will only further exaggerate the effect.
please feel free to flame away on this one. lets hear some opinions.