Burnt Ends are not on the regular menu, but Oklahoma Joe's http://oklahomajoesbbq.com/ says:
"We serve burnt ends on Wednesdays at dinner. But get here early. Our burnt ends are pretty popular and they go fast."

Burnt Ends first originated in Kansas City http://en.wikipedia.org/wiki/Burnt_ends
and are usually slightly more expensive than regular brisket. Plus they are also slightly more flavorful.