Faces of Chaos

After working with the equations in my Strange Attractors series for a few years, I began to wonder if there was a way to capture the nature of the system, visually. In other words, what is going on here at a higher dimension, at the “meta” level? These questions birthed the Faces of Chaos series, which visualize the system using a unique mapping of the Lyapunov exponent to the image plane. At a more subconscious level, the images and titles I chose from the myriad of possibilities evoke an almost mythological aura, with archetypes such as “king” and “warrior” emerging from the chaos.

Chinese Warrior

Chinese Warrior

The “smiling face of a Chinese warrior” above his broad-shouldered armor, or a mustachioed warrior with a fanciful hat? Another artwork from my exploration of “Lyapunov space.”

Tiled Faces

Tiled Faces

In my Faces of Chaos series, I seek to visualize a chaotic dynamical system, using a unique mapping of the Lyapunov exponent to the image plane. Tiled Faces is one result of this exploration, and its 1,024 images combine to reveal the “face” of the four-dimensional system’s chaotic behavior.

Faces of Chaos Tech Notes

Faces of Chaos Tech Notes

Custom software was developed to calculate the Lyapunov exponent of a chaotic dynamical system over a range of its four parameters. The raw data from this 4-dimensional parameter space was fed to another program to generate thousands of individual images, where X and Y represent two of the four coefficients. Every single pixel in these images gets its value from the calculation of the Lyapunov exponent of the strange attractor generated by the four coefficients it represents.