Aizawa

Aizawa Attractor — A chaotic system that produces a toroidal structure with a tendril extending from the center. The attractor has a visually striking shape that resembles a sphere with a tail, exhibiting both rotational symmetry and chaotic wandering.

dx/dt = (z − b)x − dy
dy/dt = dx + (z − b)y
dz/dt = c + az − z³/3 − (x² + y²)(1 + ez) + fzx³

Open Aizawa in chaosrack →

It opens running, on the model selector, with its own knobs. Rotate it by dragging, zoom with the wheel, and turn the parameters to see what the figure does when the system changes.