Hi all,
After a discussion with some of you we realised that they were missing an upper-bound for α.
Indeed wee used only conditions for the fixed points but studying the dynamical system also add the following condition:
α < h^2ext - 1 (case K = 1)
(Note that this is irrelevant for the exercise)
For those interested the derivation can be discussed in class.
Good luck !
The TA's