PARAMETERS
Presets:
Spirals
Target
Turbulence
Phase chaos
Benjamin-Feir? —
1+bc: —
Steps: 0
The Complex Ginzburg-Landau equation:
∂A/∂t = A+(1+ib)∇²A−(1+ic)|A|²A
b controls linear dispersion; c controls nonlinear frequency shift. The Benjamin-Feir instability occurs when 1+bc < 0 — plane waves are unstable and defect-mediated turbulence emerges.
Spiral cores are topological defects (vortices of A) — they spontaneously emit target waves. Near the Hopf bifurcation, CGLE is universal for oscillating media.
Phase turbulence (large b,c) shows spatiotemporal chaos even without amplitude fluctuations.