The curve of a static recurves stay rigid through the draw and act as levers as the bow is drawn. This is the type I prefer. Actually, I haven't built a working recurve.
The curve of a working recurve opens up as the bow is drawn. This type gives you more working limb, where as on the static recurve only the mid portion of the limb bends and the tips stay rigid or static.
Most glass recurves are working recurves. A few companies make statics but they aren't the norm.