Launch

An early, experimental rendering of the discrete Volterra-Lotka parameter space. This is, basically, its Mandelbrot set. Red-to-white points: no finite attractors. Orange: there's a cyclic attractor, brighter orange = the stablest such is more stable. Dark maroon in the border region = no cyclic attractor but there's a limit circle attractor. Purple = strange attractors dominate. The image was generated by sampling a distribution of points in the dynamic space for each parameter point. The fuzzy/dusty little structures occur where finite attractors exist but their basins have small enough area to not reliably capture at least one sampling point.

I have much more sophisticated images of this fractal, including some shallow zooms, which will be posted here over time, mixed with other "exotica" fractals.