Dadras' Attractor

25 Jun 2021

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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.

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

In the above demo, $\alpha=3, \beta=2.7, \gamma=1.7, \delta=2, \varepsilon=9.$