Shattered Mirror

Created from Chaos

The orbit of the unravel attractor is constrained to a sphere of radius R and governed by six parameters:  A, E, U, L, N, V and R.

With an orbit defined as: \[ \small \dot{x} = L(z+a) \hspace{1cm}when \hspace{0.2cm} \| \dot{v}\| > r \]

\[ \small \dot{y} = N(x+e)\hspace{4cm}\]

\[ \small \dot{z} = V(y+u)\hspace{4cm}\]

\[ \small p = 1- \frac{r([\frac{\| \dot{v}\|}{r}+1])}{\| \dot{v}\|}\hspace{2.4cm} \]

\[ \small \dot{v} = p \begin{bmatrix} \dot{x}\\ \dot{y}\\ \dot{z} \end{bmatrix}\hspace{5cm}\]

 

 

 

Unravel Attractor, rendered via Chaoscope