Title: Order and Chaos Post by: Pauldelbrot on January 02, 2014, 12:02:24 AM Order and Chaos (http://nocache-nocookies.digitalgott.com/gallery/15/511_02_01_14_12_02_23.jpeg) http://www.fractalforums.com/index.php?action=gallery;sa=view;id=15362 A discrete Volterra-Lotka Julia set with three attractors: infinity (captures outside tannish points); a discrete cycle with a period near two dozen (dark points within purplish blobs, capturing those blobs); and a strange attractor that consists of a cycle of 11 separated components, each internally a convoluted and fractally-folded curve somewhat like the Henon attractor (bright yellow, capturing the yellow-to-reddish points in the pinwheel shape and outside of the purple inclusions). |