Sprott Morph

Sprott Morph — the glensstuff.com Self-Programming Analog Computer, which stepped itself through the Sprott catalog by re-patching. Every Sprott A–S system is a quadratic 3-D flow, a point in the 30-dimensional coefficient space of Sprott's 1994 search. With the rate knob up, the machine re-patches itself from one system to the next, in systems per minute, while ONE trajectory keeps integrating; the Console's PATCH readout shows the current wiring. B–S are chaotic attractors, stepped with RK4 as their own models are; A is conservative, a chaotic sea rather than an attractor. With the rate at zero the sys knob parks the patch anywhere in the cycle, including between two systems, where the coefficients are blended linearly. Most blends are not attractors: measured at quarter steps, the large majority diverge or settle onto a cycle or a fixed point, and a guard reseeds the trajectory when a blend flings it away. Coefficients are extracted numerically from the catalog's own equations.

Open Sprott Morph in chaosrack →

It opens running, on the model selector, with its own knobs. Rotate it by dragging, zoom with the wheel, and turn the parameters to see what the figure does when the system changes.