Amplitude Death in Coupled Oscillators

Stuart-Landau oscillators with frequency mismatch and diffusive coupling
OSCILLATING
Stuart-Landau equations: ż₁ = (1 + iω₁ − |z₁|²)z₁ + κ(z₂ − z₁),   ż₂ = (1 + iω₂ − |z₂|²)z₂ + κ(z₁ − z₂). Amplitude death occurs when coupling κ and frequency mismatch Δω = |ω₁ − ω₂| push both oscillators to the fixed point z = 0. Death region (blue) in phase diagram: κ > κ_c(Δω).