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 = 2.4. The nonzero fixed point is stable; from x = 0.5 the iterates spiral in to the fixed point. s = 2.9. Here the spiral is even more pronounced, and long-lived.