Burke-Shaw attractor
The Burke-Shaw attractor is a two-lobed chaotic system derived from the Lorenz equations, compact and tightly wound.
Equations
dxdt=−s(x + y)
dydt=−y − sxz
dzdt=sxy + v
Like Lorenz, the system is unchanged by a half turn about the z axis, (x, y, z) to (−x, −y, z), so its two lobes are copies of each other. The divergence is −(s + 1) = −11 everywhere, strongly dissipative, which is why it packs into so small a space.
History
Bill Burke and Robert Shaw derived it from the Lorenz system in 1981.
What to look for
It is small. The app starts the camera at a distance of 10, the closest of the nine. Zoom in on one lobe and the apparent density resolves into separate layers.