Title :
Visualizing chaos: Lyapunov surfaces and volumes
Author_Institution :
IBM Thomas J. Watson Res. Center, Yorktown Heights, NY, USA
fDate :
3/1/1990 12:00:00 AM
Abstract :
The use of a graphic technique to visualize chaos for a dual-parameter one-dimensional map is described. It involves plotting the Lyapunov exponent with both height and color in a three-dimensional map, as a function of the two parameters. Color is determined using a geographic lookup table. A graphics supercomputer can rotate the map in real time. The technique demonstrates graphically interesting behavior in chaotic systems.<>
Keywords :
Lyapunov methods; computer graphics; table lookup; Lyapunov surfaces; chaos visualisation; dual-parameter one-dimensional map; geographic lookup table; graphic technique; volumes; Bifurcation; Biology computing; Chaos; Computer graphics; Equations; Logistics; Physics computing; Surface topography; Table lookup; Visualization;
Journal_Title :
Computer Graphics and Applications, IEEE
