Coupled Logistic Map Lattice — Kaneko CML

Spatiotemporal chaos · coherent structures · turbulence analogy

Parameters

Statistics

Time step0
Mean x
Variance
Max Lyap. (est)
Regime

About

Kaneko's Coupled Map Lattice (1984):
xᵢ(t+1) = (1−ε)f(xᵢ) + ε/2[f(xᵢ₋₁)+f(xᵢ₊₁)]
where f(x) = rx(1−x). The space-time diagram shows travelling waves, frozen chaos, pattern selection, and fully developed turbulence depending on (r, ε). This is a paradigm model for spatiotemporal complexity.