Discrete map · 2D · dim 2
Baker's map
A simple model of mixing: bake the dough by stretching and folding. Conjugate to the Bernoulli shift on bi-infinite binary strings, the cleanest example of measure-theoretic chaos.
Equations
Stretch the unit square 2× horizontally, cut, and stack.At a glance
| Parameters | (no free parameter) |
|---|---|
| Chaotic for | always |
| Lyapunov exponent | λ = ln 2 |
| History | Studied since the 1960s as a paradigm of ergodic theory. |
Try it
Open the interactive playground at /tools/arnold-cat.