Arneodo

Arneodo Attractor — Arneodo, Coullet and Tresser (1981): a third-order jerk equation, x‴ = −ax − bx′ − x″ + dx³, written as three first-order equations. A spiral attractor whose loops fold back on themselves through the cubic term.

dx/dt = y
dy/dt = z
dz/dt = −ax − by − z + dx³

Open Arneodo 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.