This is definitely OP if you compare it to adrenaline. The doubling of attack numbers regardless of damage being dealt will quickly overshadow adrenaline, even if this were a single target. This card is affecting ALL time and entropy creatures. Now granted, that COULD be a double edge sword... but that is assuming your opponent is using entropy and / or time.
My opinion for balance:
-Make it affect all creatures
-Only add a single extra attack each time nstead of doubling number of attacks. <- this is probably most important
-Possibly need to scale down damage of subsequent attacks to keep in balance with adrenaline
-Raise cost or add an upkeep
Not all of those necessarily need to be done, but as it is its just too big of a bump for time for the cost of playing it.
That said, I do like the overall concept. I just think you will need to work at balancing it out.