Coupled Map Lattice — Chimera States

Logistic maps with nonlocal coupling exhibit chimera states: coexisting coherent (synchronized) and incoherent (chaotic) spatial domains. The space-time plot reveals the broken symmetry of chimera order.

Parameters

xᵢ(t+1) = (1-ε)f(xᵢ(t)) + ε/(2P·N) Σ_{|i-j|≤PN} f(xⱼ(t)) f(x) = rx(1-x) — logistic map Chimera: ∃ coherent clusters where |xᵢ-xⱼ|→0 and incoherent domains with positive Lyapunov λ