Baker's Map

Lyapunov Exponents:

λ₁ = +0.693147

λ₂ = -0.693147

Analytic, not measured: the map stretches x by 2 and contracts y by 1/2 at every point, so λ = ±ln 2 everywhere. They sum to zero because the map preserves area.

Topological Entropy: 0.6931

Exact value: ln(2) - represents exponential mixing rate

Equations:

xₙ₊₁ = 2·xₙ (mod 1)

yₙ₊₁ = yₙ/2