Late Roman Bronze Coins

There is an interesting theory that Diocletian and Maximianus started to proclaim their relationship with Jupiter and Hercules because of the revolt of Carausius. It was "an attempt to impose a divine order on the administering of the Empire, a "cosmic unity" that would automatically exclude any usurper from a place within the Empire." (In Praise of Later Roman Emperors  pg 48) It is impossible to prove, but an interesting idea.

see: William Seston "Dioclétien et la Tétrarchie"