Generator

bifurcation

A generator in the dynamics library, called 0 times across 0 essays. Below: what it draws at its defaults and at each mode an essay asks for, what it checks while drawing, and everywhere it is used.

bifurcation is one function. Everything below came out of it during this build, at parameters taken from the essays rather than invented for this page — so a figure here is the same figure a reader meets in an essay, and if the generator changes, this page changes with it.

At its defaults

The logistic map's bifurcation diagram, 2.4 to 4For each parameter, the values the orbit settles into, plotted as a column of points.10rthe logistic map's attractor at 460 parameters between 2.4 and 4one column per parameter, and the number of points in a column is the period there

What it checks while it draws

Collected by running the family and listening to lib/verify.js, not written here. The count is how many separate times this build put that claim to the test.

The whole library · What the figures prove