chaos Prototype


OBSERVATION GUIDE

Touchpoints for Observation

Observe how a small change in a rule or starting value becomes cycles, branching, or unstable motion.

  • Change the control value and compare the orbit trace with the bifurcation field.
  • Stable bands can split into two, four, and then many paths.
  • Tiny initial differences matter most near the rough edges.

This is a visual chaos observation model, not a prediction or numerical analysis system.

Runs inside the browser with no upload and no registration.

SYSTEM NOTE

x(n + 1) = r x(n)(1 - x(n)). Small parameter shifts can move an orbit from cycles into chaos.

OBSERVATION POLICY

This lab runs in your browser. No image, pointer trace, or input is uploaded by this prototype.