Just click the green flag and watch. The Rabinovich-Fabrikant equations are a two-parameter 3D set of ordinary differential equations. For some values of these parameters, the equation exhibits chaos. The equations are: x' = (z - b)x - dy y' = dx + (z - b)y z' = c + az - z³/3 - (x² + y²)(1+ez) + fzx³ For this simulation: a = 0.95 b = 0.7 c = 0.6 d = 3.5 e = 0.25 f = 0.1 Press O to change the orientation. Orientation 1 (X,Y) displays the X value as the X value and the Y value as the Y value (it can't be any simpler) and is the standard orientation. Orientation 2 (X,Z) has the Y value corresponding to the Z value. Orientation 3 (Y,Z) has the X value corresponding to the Y value and the Y value corresponding to the Z value. Basically, it's three viewpoints to look at the attractor from. A little story of how this came to be: I made a Chua attractor chaos demonstration sometime in 2020 (which I didn't share). Late in 2021, I started screwing with the parameters, so I decided to make something out of it. It resulted in a horrific failure of an attempt at the Rabinovich-Fabrikant equations demonstration. It was chaotic - super chaotic, the smallest changes resulted in the biggest differences in the first step, something no mathematical system can achieve. I then tried another system, which was simpler. This worked, and now this exists.
