Wednesday, February 17, 2016

ikeda map

Continuing the theme of strange attractors, here's the well-known one embedded in the Ikeda map. The thumbnail at left shows the central 'vortex' of the attractor, and links to a larger viewport.

In these images, I've plotted the real and imaginary components along the x and y axes respectively. But the more popular way to visualize this attractor adds an extra parameter to the system and is expressed in trigonometric functions. Such adaptation of the code below yields these results.

Saturday, February 13, 2016

hénon attractor

French astronomer Michel Hénon reported on this strange, fractal attractor in 1976. Since then, it has been among the most studied examples of chaotic dynamical systems.