Sprott B attractor
Sprott B is one of the simplest known chaotic flows: three equations with five terms, two of them quadratic.
Equations
dxdt=yz
dydt=x − y
dzdt=1 − xy
Five terms and two nonlinearities, yz and xy, with no parameters left to tune. The system is unchanged by a half turn about the z axis, so its two lobes mirror each other. Its divergence is −1 everywhere.
History
Julien Clinton Sprott found it in 1994 with a computer search through simple polynomial systems, reported in Some Simple Chaotic Flows in Physical Review E. He labelled the nineteen cases he found A to S. This is B.
What to look for
It is quick. The app draws it with the largest time step of the nine, 0.03, and the cloud fills in fast and loose compared with the tightly wound systems.