Actually, not much: one was probably a price-bubble, while the other was not.
I found a published article from Earl A. Thompson (UCLA), titled The tulipmania: Fact or artifact? and assumed that I would be able to match the bubble shape to some other bubble (notably, Twitter) but the article debunks the tulipmania myth. So there goes my pet project.
Read inside for more...
P.S. Thompson's explanation also includes "inebriated amateur traders" and "peasant revolts". A surprisingly enjoyable read and I got some European history at the same time. Tulips may have been the first (?) commodity futures market.