attractorium

Three equations, no randomness, and still no way to say where the orbit will be a minute from now. Release a cloud of starting points closer together than a speck of dust and watch the flow pull them apart over the whole attractor, at the rate the largest Lyapunov exponent predicts.

Drag to turn, scroll or pinch to zoom. Space runs or pauses, R releases a new cloud, O shows or hides the orbit, arrow keys turn, + and − zoom.

Cloud spread (log scale) against time. The dashed line grows at the measured Lyapunov exponent λ.
for . Each maximum against the one before.
Bifurcation diagram: sweep across its range and plot the settled maxima for each value. One dot is a simple loop, two a doubled period, a smear is chaos; grey columns ran off to infinity. Click to jump to a value.