VMI Chaos Movie Theater

The Chaos Movie Theater

Animations of chaotic attactors in 3D from the Visual Math Institute, by Ralph H. Abraham.

Animations of chaotic attactors in 3D discrete dynamical systems and their bifurcations

Presented in WebGL, created with HTML5, CSS3, JavaScript, and THREE.js.
Vertex and hue data precomputed by NetLogo3D.
NOTE: If Safari is your browser, you will have to enable WebGL in order to view these.
Step #1: Safari -> Preferences -> Advanced: Click at bottom, "Show Develop menu in menu bar"
Step #2: Safari -> Develop: Click at bottom, "Enable WebGL"
With Firefox, Google Chrome, or Opera, no fiddle is required.

Experiments with Sprott's strange attractors

Visualization by the method of chinese lanterns:

The model is run for N iterations.
In a uniform grid of 1,000,000 voxels (100 x 100 x 100) the number of hits are recorded.
In each voxel with one or more hits (there are M of them) a lantern (sprite) is placed.
The color indicates the density (the number of trajectory points in each voxel).
Blue for lowest density, red for highest (max-hits).

Mouse Interactive example from Mr Doob This example from the headquarters of THREE.js inspired us #1. Sprott 3D attractor, Code-I, Plate 12 N = 50,000, M = 2750, max-hits = 210 Safari auto-rotation speed: 20 fps #2. Sprott 3D attractor, Code-I, Plate 12 Same as #1, with camera relocated for a better view The size of each lantern (as well as its color) are now proportional to the density Safari auto-rotation speed: 17 fps: This example from the headquarters of THREE.js inspired us
#1. Sprott 3D attractor, Code-I, Plate 12 N = 50,000, M = 2750, max-hits = 210 Safari auto-rotation speed: 20 fps #2. Sprott 3D attractor, Code-I, Plate 12 Same as #1, with camera relocated for a better view The size of each lantern (as well as its color) are now proportional to the density Safari auto-rotation speed: 17 fps: N = 50,000, M = 2750, max-hits = 210; Safari auto-rotation speed: 20 fps
#2. Sprott 3D attractor, Code-I, Plate 12 Same as #1, with camera relocated for a better view The size of each lantern (as well as its color) are now proportional to the density Safari auto-rotation speed: 17 fps: Same as #1, with camera relocated for a better view; The size of each lantern (as well as its color) are now proportional to the density; Safari auto-rotation speed: 17 fps

Revised 17 October 2014 by Ralph Abraham. <abraham@vismath.org>