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 = 1.5. The nonzero fixed point is stable, so why do the iterates run down toward black? Because here we started with x = 0.5, so the iterates decrease to the fixed point. Here we take the same value of s, but start from x = 0.01 so the iterates increase toward the fixed point.