Kuramoto Chimera States

Coexistence of synchronized and incoherent oscillators with nonlocal coupling

Chimera Parameters

Sync region R:
Global order |Z|:
Step:0
Chimera states (Kuramoto & Battogtokh 2002): spontaneous coexistence of synchronized and desynchronized oscillators.

Nonlocal coupling: G(x-x') = (1/2r)exp(−|x-x'|/r). Critical discovery: identical oscillators can break symmetry.

Top: phase θᵢ(t). Color = phase. Bottom: local order parameter R(x,t).