Simone

Simone Attractor — a point drawn toward s·(sin(ay) + cos(bz), sin(az) + cos(bx), sin(ax) + cos(by)): the trigonometric map of the Simone attractor written as a flow, each coordinate driven by the other two. From Shashank Tomar's strange attractors. Chaotic for some (a, b) and periodic for others; b = 2.49 is chaotic.

dx/dt = s(sin(ay) + cos(bz)) − x
dy/dt = s(sin(az) + cos(bx)) − y
dz/dt = s(sin(ax) + cos(by)) − z

Open Simone 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.