Some fun with strange attractors. Click on pictures.
Wednesday, October 24, 2007
Period 10 cycle
x ↦ 1.17976926117653y² - 1.99103109843869xy -
0.8836198223605760y + 2.92298762776119x² + 0.618287417078240x -
y ↦ -0.8067594004089490y² + 2.70383794131581xy -
1.39375844017023y + 0.2668745290345870x² + 0.6331558790477710x +
Starting point (0,1;0,5); 50000 iterations; first 200 are not drawn. Point thickness is increased. Click to get 300 dpi version.
On the image below all iterations are drawn, so you can see how it converge to the cycle.
The order in which nodes are visited is shown below.