Halvorsen's Cyclically Symmetric Attractor



The Halvorsen attractor is described by the following ODEs

x˙=−αx−4y−4z−y2y˙=−αy−4z−4x−z2z˙=−αz−4x−4y−x2\begin{align*}\dot{x}&=-\alpha x - 4y - 4z - y^2\\\dot{y}&=-\alpha y - 4z - 4x - z^2\\\dot{z}&=-\alpha z - 4x - 4y - x^2\end{align*}

In the above demo, α=1.89.\alpha = 1.89.