Kuramoto Chimera State

Coexistence of synchrony and incoherence on a ring with nonlocal coupling

t: 0 Order R: - Sync region: -
Chimera states (Kuramoto & Battogtokh 2002, Abrams & Strogatz 2004): identical oscillators with symmetric nonlocal coupling spontaneously break symmetry — one half synchronizes while the other remains incoherent. Key: phase lag α near π/2. Left: oscillators on ring (color=phase). Right: phase vs position over time.