Generator

divergence

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.

divergence 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

Two orbits of the logistic map at 3.9, started 0.0001 apartTwo sequences from almost the same starting point, plotted together against the step number.step 14two orbits started 0.0001 apart, which is a distance no drawing can showthey are visibly apart by step 14, and by the end share nothing but their interval

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