Sprott-D Attractor

Searching for the most simple systems that would behave chaotic around an attractor in 1994, Julien Clinton Sprott1 found 19 distinct cases from A through S which have at most 6 terms across three dimensions2. This is case D.

Renders

Differential system:

\[\dot{x} = -y\] \[\dot{y} = x + z\] \[\dot{z} = x\, z + \alpha\, y^2\]

Constants:

\[\alpha = 3\]

Sprott-D

Sprott-D


  1. You can find his awesome suff in Sprott’s Gateway 

  2. J.C. Sprott, 1994. "Some simple chaotic flows". Phys. Rew. E. 50(2). doi:10.1103/PhysRevE.50.R647