Coupled Map Lattice — Defect Turbulence

Spatiotemporal chaos via logistic CML — defects (discontinuities) nucleate and propagate, creating turbulent regimes

Logistic r (chaos) 3.900

Coupling ε 0.100

Coupling type Diffusive

Defect count0

Max Lyapunov—

Spatial corr ξ—

Time step0

A Coupled Map Lattice (Kaneko 1984) is a spatially-extended dynamical system: x_i(t+1) = (1-ε)f(x_i(t)) + (ε/2)[f(x_{i-1})+f(x_{i+1})]. With logistic map f(x)=rx(1-x), high r produces spatiotemporal chaos. Defect turbulence emerges when sharp gradients (defects) propagate and nucleate, preventing pattern formation.