Bifurcation

Bifurcation Explorer — the fig-tree diagram, computed live. One parameter of the most recent flow mode sweeps its whole knob range across the x axis; each column integrates the system fresh at that value and plots the local maxima of z. Thin branches are periodic orbits, fan-outs are period-doubling cascades, filled bands are chaos — the route between them is the route to chaos. Pick the swept parameter in the Parameters module; visit an attractor and tune it to change the source system.

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.