Is this a new strange attractor? I recently made some experiments in programming strange attractors, and I found this (very simple) equations, which create a nice strange attractor:
xn=x+dt*(z-y)
yn=y+dt*(x/2-1)
zn=z+dt*(-xy/2-z)

You can see it in action on my Youtube channel:
https://youtu.be/Bm_M6mUGjtg
My question: Is this a variation of the Lorenz- or Rössler attractor - or did I stumble upon something new?

EDIT: 
Meanwhile I programmed a little 3D View for this attractor:



You can see/move the view on this applet (Java needed):
https://cerumen.de.cool/attractor/index.html
(Here you also find the source code for Processing)
And here the Javascript-Version: https://cerumen.de.cool/attractor/js/index.html (with processing.js... bit slow)
Perhaps my question was also asked too amateurishly.
I was simply surprised by the simplicity of the system of equations I have found.
Therefore I would like to know if this strange attractor is a descendant of one of the well known ones (Lorenz / Rössler).

Edit 2:
I have now brought the system of equations into a more general form:
xn=x+dt*(z-y)
yn=y+dt*(ax-b)
zn=z+dt*(-axy-z)

with a in range [0 to 1], b in range [0.5 to 1]
This makes it more interesting.
Here some sample images for different values for a and b:






Edit 3:
Here a video with the generalized equations and constantly changing parameters a and b: https://youtu.be/gxusM8pmNwU
I think you can see here quite well how the system goes from order through bifurcation into chaos...
 A: I just figured I added some Mathematica code and a picture for the attractor in the question.

With[{dt = 0.001},
  iter[{x_, y_, z_}] := {x, y, z} + 
    dt {(z - y), x/2 - 1, -x y/2 - z} 
  ];
pts = NestList[iter, {0.1, 0.1, 1/2}, 500000];
ListPlot[{#1, #2} & @@@ pts[[1 ;; ;; 5]], PlotRange -> All, 
 Axes -> False, PlotStyle -> {Opacity[0.9], PointSize[Tiny], Orange}, 
 AspectRatio -> 1, Background -> Gray, ImageSize -> {800, 600}]

I only plotted every fifth of the points, as it is a bit quicker, and the image is a bit more pleasant with this variant.
EDIT:
With some more creative edits,
$$
(x_{n+1}, y_{n+1}, z_{n+1}) =(x_n, y_n, z_n)+dt
(z - y, -1 + x + 6 \sin(\pi/4 + 10 x/ z), -x y/2 - z)
$$
one can produce the following picture.
Adding any non-linear disturbance, and making sure that it does not diverge, or converge to something boring, it is rather easy to cook up exotic variations that give rise to chaotic behavior.

A: In another forum a user drew my attention to the publication of

*

*J. C. Sprott, Some simple chaotic flows, Phys. Rev. E 50, R647-R650 (1994), doi:10.1103/PhysRevE.50.R647, author pdf.

This shows that there are many very simple chaotic systems of equations.
I guess this answers my question...
You can see some of the equations here, and here are the corresponding graphs.
But thank you all for your interest.
