Quattro, Quaife, Torsen, Peloquin: (Torque Biasing Differentials)
Audi's Quattro (Audi's marketting name for all their AWD systems) using Torsen and the popular aftermarket Quaife systems use a set of worm gears inside the differential in place of the simple bevelled spider gears, which bind up when there's a resistive torque imbalance. That means, as long as both sides show equal resistance then they are free to rotate at different speeds, such as when going around a turn.
The whole thing is often called a 'Torsen' system as in 'Torque Sensing' (Torsen is actually a registered trademark, and the more generic term is Torque Biasing Differential or TBD) because it instantly reacts to torque imbalance transferring torque to the wheels that can use it most. There's a difference between the two main types of torque biasing diffs. Quattro's Torsen diffs used something developed by Gleason called invex gearing which is is really all about worm gears. A torque imbalance causes it to try to turn the low traction output shaft faster than the higher traction side, but that would cause the invex spider gears to turn, and they drive worm gears which have a greater mechanical advantage (due to the angle of the teeth) than the output sun gears have on the worm gears. That means that a multiple of the torque that would have gone to the low traction side actually goes to the high traction side. So if 20 ft-lbs of traction is at the low traction side, something like 80 ft-lbs goes to the side that can actually use it. A ratio of 4 to 1 or 5 to 1 is common but changing the gear teeth angles changes the ratio. The Quaife unit uses helical gears to accomplish very much the same thing, but the actual operation is not nearly as easy to understand. The helical gears float in pockets on the inside of the housing and apply radial and axial forces generated by the angle of the gear teeth. It can be tuned just like the invex gears to vary the torque ratio. Note however that without significant preload either torque biasing diff will not work well with a wheel completely off the ground. 0 ft-lbs time 4 is still 0. A simple braking trick helps though. (Note, the EDL system discussed above, actually works pretty well with a torsen diff. It activates rarely, but allows for much greater torque transfer when it does.) For this reason, they're rarely found on offroad 4x4 vehicles, the notable exception being the original Hummer H1, which has a note in the owner's manual explaining how to use the brakes and gas at the same time, should one or more tires be off the ground (as is not uncommon while offroading).