Chimera States — Small-World Network

Coexistence of synchronized and desynchronized oscillators (Kuramoto model)

Network

Theory

dθᵢ/dt = ωᵢ + K/N Σⱼ Aᵢⱼ sin(θⱼ-θᵢ)
r = |⟨e^iθ⟩| (order param)
Chimera: r≠0,1 with spatial coexistence
Requires non-local coupling (Abrams-Strogatz 2004)

Status