Animated demonstration of asymmetry-induced symmetry

Supplemental Movie for our paper published at http://dx.doi.org/10.1103/PhysRevLett.... It shows the dynamics of the example network in Fig. 1 of the paper, in which oscillator heterogeneity is required to stabilize a homogeneous, synchronous state. In panel (a), circles represent the limit cycle each oscillator would follow in the absence of coupling. The b_i value of the i-th oscillator is shown inside the corresponding circle. Starting nearly synchronized, the oscillators with homogeneous b_i desynchronize and approach a traveling-wave state; after making b_i values suitably heterogeneous at t = 75, the oscillators converge spontaneously to the synchronous state, indicating that the state is now stable. Panels (b)-(f) show an animation of Fig. 1(b)-(f) of the paper, in which moving colored dots are used to visualize the dynamics of the individual oscillators.

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  • Science & Technology

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  • Standard YouTube License