Coupled Map Lattice — Kaneko Model
Spatiotemporal Chaos · Synchronized Chaos · Pattern Formation · CML Phases
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CML Parameters
Local map
Logistic map f(x)=r·x(1-x)
Tent map
Sine map f(x)=r·sin(πx)
Control parameter r
3.8
Coupling ε
0.3
Lattice sites N
80
Time steps to show
400
Restart Simulation
Single Step
CML evolution (Kaneko 1984):
xᵢ(t+1) = (1-ε)·f(xᵢ(t))
+ ε/2·[f(xᵢ₋₁(t)) + f(xᵢ₊₁(t))]
Logistic map:
f(x) = r·x(1-x)
Phases (logistic):
ε≈0, r≈4: spatiotemporal chaos
ε large: synchronized chaos
Intermediate: pattern / traveling waves
Color:
blue=0 → red=1