Posts tagged lorenz attractor
since the non-linear equations used to define the lorenz attractor actually produce a three-dimensional graph (rather than a flat image), here’s a model created by geoff milburn to help visualize the phenomenon. he explains:
“This is a rendering of the long journey of a single point in Lorenz’s creation, a path consisting of three million iterations developed in Processing that shows the region of allowable values in the model more clearly. Older values are darker, and the visualization is animated to show the strange dance of the current values of the system as they sweep from arm to arm of this dual-eyed mathematical monster, order generating chaos.”
the lorenz attractor: one of the most famous strange attractors used to represent the flow of chaotic systems (1). it was originally presented in 1963 by edward lorenz through his studies of dynamic weather patterns, in particular, convection currents (2). eventually, he’d come to term it the butterfly effect, at the recommendation of philip merilees (3).
what a lovely fractal.
