Figure 2 | Scientific Reports

Figure 2

From: Emergence of multicluster chimera states

Figure 2

Spatiotemporal patterns associated with multicluster chimera states after link removal.

(a,c) Typical spatiotemporal patterns of the order parameter R for different values of η, a parameter characterizing the extent of link removal. The magnitudes for different panels are indicated using the respective color bars. The results are obtained for parameters A = 0.995 and α = 1.39 and system size N = 256 and for over 2 × 105 time steps. The values of η for different panels are (a) 0.43, 0.70, 0.75, 0.80, 0.87 and (c) 0.46, 0.54, 0.59, 0.66, 0.68 from left to right, respectively. (b) Difference in the order parameter, , between the m-cluster chimera state and the corresponding hypothetical synchronous state, where the values of the average order parameter are displayed in the inset. The order parameters calculated through direct simulation of Eq. (1) (red pluses) and from the PDE Eq. (5) (blue circles) agree well with each other. The number of clusters emerged as η is increased is m = 4, 3, 5, 7, 9 and so on and they are distinguished using white and gray backgrounds.

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