Swarmalators: Sync + Motion Coupling

Parameters

Swarmalators (Lee et al., 2019): agents that synchronize AND swarm simultaneously.

Phase θᵢ changes due to coupling; position xᵢ changes due to attraction/repulsion modulated by phase similarity.

Color = phase θ ∈ [0, 2π].
K>0: nearby phases attract → sync. K<0: phases repel → wave state.