Steady-state of the real Ginzburg-Landau amplitude equation. Setting Ȧ = εA - gA³ = 0 gives two branches: A = 0 (trivial) and A = ±√(ε/g) (non-trivial, real for ε/g > 0). Linear stability: ∂(Ȧ)/∂A = ε - 3gA²; evaluating at A = ±√(ε/g)…
Steady-state of the real Ginzburg-Landau amplitude equation. Setting Ȧ = εA - gA³ = 0 gives two branches: A = 0 (trivial) and A = ±√(ε/g) (non-trivial, real for ε/g > 0). Linear stability: ∂(Ȧ)/∂A = ε - 3gA²; evaluating at A = ±√(ε/g)…