Dadras' Attractor

25 Jun 2021


The Dadras attractor was found in 2009; it is notable as varying a single parameter enables creation of a one, two, three, or four-scroll (or "winged") attractors.

x˙=yαx+βyzy˙=γ+z(1+x)z˙=δxyεz\begin{align*}\dot{x}&=y - \alpha x + \beta yz\\\dot{y}&=\gamma + z(1 + x)\\\dot{z}&=\delta xy - \varepsilon z\end{align*}

In the above demo, α=3,β=2.7,γ=1.7,δ=2,ε=9.\alpha=3, \beta=2.7, \gamma=1.7, \delta=2, \varepsilon=9.