Two coupled Lorenz systems and transverse Lyapunov exponent
Sync error: — | Status: —
Master stability function (Pecora-Carroll): synchronizability determined by the sign of the largest transverse Lyapunov exponent Λ_⊥(ε). Two Lorenz oscillators coupled via x-variable: ẋ₁ = σ(y₁-x₁) + ε(x₂-x₁). Synchronization (x₁≈x₂) achieved when ε exceeds a threshold. MSF shows Λ_⊥ vs ε — negative region = synchronizable.