Fig. 7: Trajectories of time-discrete maps. | Nature Communications

Fig. 7: Trajectories of time-discrete maps.

From: Between synchrony and turbulence: intricate hierarchies of coexistence patterns

Fig. 7

a 8 − 4 − 4 solution for N = 16, α = 0.8 and β = 0.15, wherein the clusters of 4 (green and red, respectively) are period-2 and the cluster of 8 (purple) is constant. b 8 − (4 × 2) solution emerging in a period-doubling of the solution in a, with the cluster of 8 not shown for better resolution. α = 0.86. Here, each color marks the trajectory of a cluster of two. c 64 − 33 − 16 − 15 period-4 solution for N = 128, α = 0.86 and β = 0.15. Cluster trajectories: 64 purple, 33 green, 16 blue, 15 red. d 64 − 33 − 16 − 8 − 7 period-8 solution emerging in a period-doubling of the solution in c, with the cluster of 64 not shown. α = 0.87. The cluster of 15 has split into smaller clusters of 8 (red) and 7 (yellow).

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