| 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 |
| Tent |
| 1.2, 1.32 |
| 1.4, 1.5 |
| 1.7, 1.8 |
| 1.9, 1.999 |
|
 |
 |
s = 0.9. The fixed point x = 0 is stable, and the iterates rapidly converge
to that fixed point. In fact, the convergece is monotone: the first point
lies in bin 4 (so T4 is applied),
the next two in bin 3, the next three in bin 2, and all the
others in bin 1. |
s = 0.99. The fixed point x = 0 is stable, and the iterates converge
to that fixed point, but more slowly. Note three values lie in bin 3 and
six lie in bin 2. |
|