Sprott Attractor
The Sprott attractor was found via numerical search for chaotic systems in 2014.
$$ \begin{align*} \dot{x} &= y + x(ay + z)\\ \dot{y} &= 1 - bx^2 + yz\\ \dot{z} &= x - x^2 - y^2 \end{align*} $$
In the above demo the constants:
$$a = 2.07,\ b = 1.79.$$