Introduction to the Modeling and Analysis of Complex Systems

16.2. SIMULATING DYNAMICS ON NETWORKS 343w 2w 3q 1w 4w 1q 2q 3q 4Figure 16.7: Marching soldiers on a circular track, as a visual representation of coupledoscillators described in angular space, where soldier 1 and his or her neighborson the network (2, 3, 4) are illustrated. Each soldier has his or her own preferred speed(ω i ). The neighbors’ physical proximity (not necessarily their angular proximity; see θ 1and θ 4 ) should be used to determine in which direction soldier 1’s angular velocity isadjusted.