In Broward County there is. Ordinance No. 2011-03 notes:
A dangerous dog is one that has aggressively attacked a person on public or private property or has severely injured or killed a domesticated animal while off of its owner’s property, has been used for dogfighting, or has aggressively approached someone unprovoked.
An aggressive dog is one that has severely injured or killed a domesticated animal while unprovoked and off its owner’s property.