Chimera State
Spontaneous coherent-incoherent coexistence in identical oscillators
dθᵢ/dt = ω − (K/2R) Σⱼ G(i−j) sin(θᵢ − θⱼ + α) — Kuramoto with nonlocal coupling
G(i) = exp(−κ|i|/N) / Z — exponential coupling kernel on ring
Discovered by Kuramoto & Battogtokh (2002); named "chimera" by Abrams & Strogatz (2004).
Coherent region: oscillators synchronized. Incoherent: phase turbulence. Identical oscillators!
Coherent: — | Incoherent: — | Order: —