Calculate the logistic map for:
s0 = 0.1 and r = 4 using 10 trials
Logistic Map Table
| n | xn + 1 = rxn(1 - xn) | xn + 1 = rxn(1 - xn) | xn |
|---|---|---|---|
| 0 | 0.1 | 0.1 | 0.1 |
| 1 | 4 x 0.1(1 - 0.1) | 4 x 0.1 x 0.9 | 0.36 |
| 2 | 4 x 0.36(1 - 0.36) | 4 x 0.36 x 0.64 | 0.9216 |
| 3 | 4 x 0.9216(1 - 0.9216) | 4 x 0.9216 x 0.0784 | 0.28901376 |
| 4 | 4 x 0.28901376(1 - 0.28901376) | 4 x 0.28901376 x 0.71098624 | 0.82193922612265 |
| 5 | 4 x 0.82193922612265(1 - 0.82193922612265) | 4 x 0.82193922612265 x 0.17806077387735 | 0.5854205387342 |
| 6 | 4 x 0.5854205387342(1 - 0.5854205387342) | 4 x 0.5854205387342 x 0.4145794612658 | 0.97081332624944 |
| 7 | 4 x 0.97081332624944(1 - 0.97081332624944) | 4 x 0.97081332624944 x 0.029186673750562 | 0.11333924730376 |
| 8 | 4 x 0.11333924730376(1 - 0.11333924730376) | 4 x 0.11333924730376 x 0.88666075269624 | 0.40197384929751 |
| 9 | 4 x 0.40197384929751(1 - 0.40197384929751) | 4 x 0.40197384929751 x 0.59802615070249 | 0.96156349511381 |
0.96156349511381
