Almost the same beginning.
Lorenz's work brought attention to sensitive dependence on initial conditions. A deterministic rule can still have a limited practical prediction horizon.
Inside this model
The logistic map is x(t+1) = r × x(t) × (1 − x(t)). Starting values are 0.4 and 0.4 + epsilon/1,000,000. Both use the same parameter. The chart shows normalized population for each generation, not Lorenz's atmospheric equations.
Out in the world
A practical use
Small measurement errors can matter greatly when forecasting a nonlinear system. Comparing regimes shows why that sensitivity is not equally strong everywhere.
A useful lens. Not a universal law.
- This one-dimensional toy map is not a weather forecast. Some parameter values have stable cycles; deterministic chaos is different from independent random noise.
Associated thinkers
Further reading
Explore the original research or the teaching reference behind this experiment.
Edward Lorenz — Deterministic Nonperiodic Flow (1963) ↗