Swift-Hohenberg Pattern Formation

∂_t u = εu − (∇²+q²)²u − u³ — a pattern-forming PDE showing labyrinthine stripes, hexagons, and spots. Simulated with pseudospectral method (FFT-based). Adjust ε (supercriticality) to switch between pattern types.

ε (control): 0.30 q₀ (wavenumber): 1.00 dt: 0.50

ε < 0: uniform state

0 < ε < ~0.3: stripes

ε > ~0.5: spots/hexagons

Step: 0

|u| max: —