| 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 = 1.5. The nonzero fixed point is stable, so why do the iterates run down toward
(0,0)? Because here we started with x = 0.5, so the iterates decrease to the fixed
point, which consequently lies in bin 1. |
Here we take the same value of s, but start from x = 0.01 so the iterates
increase toward the fixed point. Several iterations are needed to get out of bin 1, a few
are in bin 2, a few in bin 3, and the bulk in bin 4. |
|