Nonreciprocal Coupling & Asymmetric Sync

Order |R|: 0.00 Phase vel: 0.00 State:
12
0.40
0.10
0.10
Nonreciprocal Kuramoto: dθᵢ/dt = ωᵢ + K₊·sin(θᵢ₊₁ − θᵢ) + K₋·sin(θᵢ₋₁ − θᵢ). Asymmetric coupling (K₊ ≠ K₋) breaks time-reversal symmetry, enabling traveling waves, exceptional-point bifurcations, and spontaneous active states.