Some fun with strange attractors. Click on pictures.

Thursday, October 25, 2007

Dolphin plays



Red component corresponds to partial derivative by x, blue corresponds to partial derivative by y, green depends on them in a some strange illogical way and added to make picture more lovely.

x ↦ 0.3663914416345010y² - 1.03747828322561xy -
1.50178812723409y + 1.16992005362711x² + 1.99643560701994x +
0.3626745632492520

y ↦ -1.02282315224122y² + 1.76994066384234xy +
0.3215114959922850y - 0.4038307575891870x² - 0.1628996674407880x +
1.49434629375527

Starting point (0,1;0,5); 50000 iterations; first 200 are not drawn. Click to get 300 dpi version.

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