I'm interested in Collatz-conjecture (the 3n+1 problem) like sequences. I'm interested in any literature that contains information about problems that are divided into similar cases.
I'm particularly interested in studies of sequences that have 3 or more cases, but information on 2 case problems is interesting as well.
I'm just trying to get a feel of what is known. Anything will be helpful.
So, where can we find lots of information on these types of problems/sequences?