Logistic
0.9, 0.99
1.5, 1.5
2.4, 2.9
3.1, 3.5
3.55, 3.57
3.6, 3.7
3.8, 3.825
3.826, 3.827
3.828, 3.829
3.846, 3.999
s = 3.846. This is a 6-cycle, the first period-doubling of the 3-cycle window. s = 3.999. Fully developed chaos. But do you see any patterns?