References? COVID-19's behavior has been quite simple so far. Exponential growth with variations. It's more predictable than the weather next week, overall.
The American curve and European curve are somewhat different, yes but the differences can be explained by the total fucked-up the American virus control efforts have been.
Oh, and the American failures were accompanied by complaints about uncertainty and how much virus control efforts would cost. Now, we will find out how much a lack of control is going to cost.