Lissajous

Lissajous Curve — Named after Jules Antoine Lissajous (1822–1880), these are parametric curves formed by combining sinusoidal motions along each axis. Not a chaotic system — the curves are periodic and their shape depends on the frequency ratios and phase relationships between the three oscillations.

x(t) = sin(at)
y(t) = sin(bt)
z(t) = sin(ct)

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.